Help test is tomorrow | Mathematics | Page 1

ember hillBOT Dec 3, 2024, 9:26 PM

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magic linden Dec 3, 2024, 9:26 PM

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Show your work.

frigid wigeon Dec 3, 2024, 9:26 PM

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wdym

magic linden Dec 3, 2024, 9:27 PM

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...I mean... show your work. That you've done. So far.

frigid wigeon Dec 3, 2024, 9:28 PM

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this is my work i just know how to do the first one

magic linden Dec 3, 2024, 9:28 PM

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frigid wigeon this is my work i just know how to do the first one

That's not work, that's a list of problems.

frigid wigeon Dec 3, 2024, 9:28 PM

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well i havent done nothing

magic linden Dec 3, 2024, 9:29 PM

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...so then show me what you've done.

frigid wigeon Dec 3, 2024, 9:29 PM

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wait a minute then

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here

shrewd fiber Dec 3, 2024, 9:38 PM

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frigid wigeon

that's two different problems.

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which one are you focusing on?

frigid wigeon Dec 3, 2024, 9:38 PM

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the 14.5

magic linden Dec 3, 2024, 9:39 PM

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frigid wigeon the 14.5

Show your work for 14.2.

frigid wigeon Dec 3, 2024, 9:39 PM

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ok wait 30 sec

magic linden Dec 3, 2024, 9:40 PM

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frigid wigeon ok wait 30 sec

Why are you asking for help with a problem that's ahead of other problems you haven't done yet?

frigid wigeon Dec 3, 2024, 9:40 PM

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idk

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im lost

magic linden Dec 3, 2024, 9:41 PM

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Okay, stop.

shrewd fiber Dec 3, 2024, 9:41 PM

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what

magic linden Dec 3, 2024, 9:41 PM

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Seems you need some theoretical foundation here.

frigid wigeon Dec 3, 2024, 9:41 PM

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idk what to do my teacher doesnt explain anything

magic linden Dec 3, 2024, 9:41 PM

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Yeah, that figures.

frigid wigeon Dec 3, 2024, 9:41 PM

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magic linden Seems you need some theoretical foundation here.

alright

magic linden Dec 3, 2024, 9:41 PM

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Okay, so what does it mean to "solve an equation"?

frigid wigeon Dec 3, 2024, 9:41 PM

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find x

magic linden Dec 3, 2024, 9:42 PM

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frigid wigeon this is my work i just know how to do the first one

It's right here.

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Between the 9 and the ^2.

frigid wigeon Dec 3, 2024, 9:43 PM

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well find the value of x

magic linden Dec 3, 2024, 9:43 PM

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Okay, I found the value 12 by cutting a deck at the Queen of Diamonds.

frigid wigeon Dec 3, 2024, 9:44 PM

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well then what does it mean to solve an equation?

magic linden Dec 3, 2024, 9:45 PM

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Okay, so we have the equation 9x^2 - 25 = 0, right?

frigid wigeon Dec 3, 2024, 9:45 PM

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yes

magic linden Dec 3, 2024, 9:45 PM

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This equation is true.

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Because an equation is a statement.

frigid wigeon Dec 3, 2024, 9:45 PM

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yes it is

magic linden Dec 3, 2024, 9:45 PM

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A statement that one expression is equal to another expression.

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So it's not a number, it's a statement, and it's true or false.

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So this equation is true.

frigid wigeon Dec 3, 2024, 9:46 PM

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ok

magic linden Dec 3, 2024, 9:46 PM

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So now we find the value of x that makes the equation true, and we do it by transforming this true equation into other true equations.

frigid wigeon Dec 3, 2024, 9:46 PM

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ohh

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How do we do that'

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?

magic linden Dec 3, 2024, 9:47 PM

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Standard algebra. If a = b, then: a + c = b + c a - c = b - c a * c = b * c a / c = b / c (c =/= 0)

frigid wigeon Dec 3, 2024, 9:48 PM

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So what does that tell us?

magic linden Dec 3, 2024, 9:48 PM

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Well, if we have the equation 9x^2 - 25 = 0, we want to perform a series of transformations that eventually give us x = [some number].

frigid wigeon Dec 3, 2024, 9:49 PM

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alright

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but what transformations do we do?

magic linden Dec 3, 2024, 9:49 PM

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Well, look at the list and see which one seems like it would be helpful.

frigid wigeon Dec 3, 2024, 9:49 PM

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a * c = b * c ?

magic linden Dec 3, 2024, 9:50 PM

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Why?

frigid wigeon Dec 3, 2024, 9:51 PM

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because we can make 2 numbers to multiply to 25 and 2 numbers that multiply to 9x^2

magic linden Dec 3, 2024, 9:51 PM

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...wait, I don't think you've understood.

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Here, 9x^2 - 25 = a and 0 = b.

frigid wigeon Dec 3, 2024, 9:51 PM

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okay

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wich one is c?

magic linden Dec 3, 2024, 9:54 PM

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You choose c, and you choose the operation.

frigid wigeon Dec 3, 2024, 9:55 PM

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How do I choose c?

magic linden Dec 3, 2024, 9:55 PM

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...this is dead basic algebra.

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I think you're overthinking it.

frigid wigeon Dec 3, 2024, 9:55 PM

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well our school dint teach it like that

frigid wigeon Dec 3, 2024, 9:55 PM

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magic linden I think you're overthinking it.

maybe

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give me another example maybe i understand

magic linden Dec 3, 2024, 9:56 PM

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9x^2 - 25 = 0 ==> 9x^2 - 25 + 25 = 0 + 25```

frigid wigeon Dec 3, 2024, 9:57 PM

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our school teached us a slightly diferent way

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But I understand that method aswell

magic linden Dec 3, 2024, 9:58 PM

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What, exactly, did your school "teached" you?

frigid wigeon Dec 3, 2024, 9:59 PM

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so the "-25" just goes to the other side and becomes oposite

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so +25

magic linden Dec 3, 2024, 9:59 PM

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No, that's not what happens.

magic linden Dec 3, 2024, 10:00 PM

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magic linden ``` 9x^2 - 25 = 0 ==> 9x^2 - 25 + 25 = 0 + 25```

This is what happens.

magic linden Dec 3, 2024, 10:00 PM

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frigid wigeon so the "-25" just goes to the other side and becomes oposite

That's just what it looks like.

frigid wigeon Dec 3, 2024, 10:00 PM

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yeah later on i understood that other method but I never saw the diference

magic linden Dec 3, 2024, 10:00 PM

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magic linden ``` 9x^2 - 25 = 0 ==> 9x^2 - 25 + 25 = 0 + 25```

Because this is what happens.

frigid wigeon Dec 3, 2024, 10:01 PM

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Yeah I know that

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but what does it have to do with c?

magic linden Dec 3, 2024, 10:01 PM

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....c = 25.

frigid wigeon Dec 3, 2024, 10:02 PM

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oh so the -25 was a

magic linden Dec 3, 2024, 10:02 PM

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No.

frigid wigeon Dec 3, 2024, 10:02 PM

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9x^2 - 25 = a

magic linden Dec 3, 2024, 10:02 PM

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a = 9x^2 - 25, b = 0. a = b ==> a + c = b + c, c = 25.

frigid wigeon Dec 3, 2024, 10:03 PM

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alright

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what do the letters mean?

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or are they just letters?

magic linden Dec 3, 2024, 10:03 PM

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...the letters represent expressions.

frigid wigeon Dec 3, 2024, 10:04 PM

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and the expressions are?...(just to clarify)

magic linden Dec 3, 2024, 10:05 PM

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9x^2 - 25, 0, and 25.

frigid wigeon Dec 3, 2024, 10:05 PM

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so the numbers that we used to make other true statements?

magic linden Dec 3, 2024, 10:05 PM

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What??? That's not even a coherent question.

frigid wigeon Dec 3, 2024, 10:06 PM

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So now you see why I need help

magic linden Dec 3, 2024, 10:07 PM

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magic linden Standard algebra. If `a = b`, then:``` a + c = b + c a - c = b - c a * c = b * c...

...okay, let's go back to this.

frigid wigeon Dec 3, 2024, 10:07 PM

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alright on it

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just to clarify those expressions are used for what?

magic linden Dec 3, 2024, 10:13 PM

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frigid wigeon just to clarify those expressions are used for what?

a is everything on the left side of an equals sign. b is everything on the right side of the same equals sign. c is any third thing.

frigid wigeon Dec 3, 2024, 10:13 PM

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ohhhhhhhhhhh i think i get it know

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so how does that help me find the solution?

magic linden Dec 3, 2024, 10:25 PM

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frigid wigeon so how does that help me find the solution?

...I think maybe you need a break.

frigid wigeon Dec 3, 2024, 10:25 PM

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I just need one thing

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what do I use to find x

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what are the different occasions

magic linden Dec 3, 2024, 10:27 PM

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Yes, and I think you'll have an easier time following my explanation after a break.

frigid wigeon Dec 3, 2024, 10:28 PM

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Im going to sleep in 20 minutes

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i dont have time for a break

magic linden Dec 3, 2024, 10:28 PM

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Well, that explains why you're tired and not following.

frigid wigeon Dec 3, 2024, 10:28 PM

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like real quick just write it and I try to understand after I sleep

magic linden Dec 3, 2024, 10:30 PM

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I can't "just write it real quick" because I don't plan the whole explanation out in advance. I go a step at a time checking that you understand each step.

frigid wigeon Dec 3, 2024, 10:30 PM

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alright then

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thanks anyways for the help Ill join in tomorrow

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have a good night

magic linden Dec 3, 2024, 10:31 PM

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I'll be perfectly happy to explain it to you when you have the time and energy for it.

torpid basalt Dec 3, 2024, 11:25 PM

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magic linden So now we find *the value of `x` that **makes the equation true,*** and we do it...

from the view of someone who is just starting out learning this i think it would be fair to say that this explanation needlessly complicates this

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it's like a seesaw that must stay balanced, if you have 9x^2 - 25 = 0

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you want x on one side of the seesaw so you move the 25 to the other side but it remains equal

frigid wigeon Dec 4, 2024, 1:59 PM

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@magic linden im back

#Help test is tomorrow