#Equations question 12th grade

65 messages · Page 1 of 1 (latest)

magic garnet
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For this question, why can't I find k by first substituting first equation into second and then using discriminant, like I get a k value but not the right one? I thought i could just find k like this and then find p by normal substitution simultaneous equation...

Screenshot_2023-11-11_175641.png
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unkempt raptor
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oh

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so u can jusrt plug in the values

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see wha u can do

magic garnet
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yh that's the way the book did it, but my way should work regardless?? the k value don't change and it makes sense too

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It's just that, I thought of my way first and didnt realise I could do it the way you mentioned, but I didnt think it would matter since my way should've worked? 😭

unkempt raptor
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how did u even get a k value with that

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its like

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legally impossible

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u mustve done a calculation error

south heron
magic garnet
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@south heron @unkempt raptor

dry river
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hmm

blazing oak
# magic garnet

youre not trying to get a value of k that forces only one solution

first step find what p is by using only the second equation, then you can solve for k

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not sure if that gives a similar result but

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seems like you forced one solution although question says there are two

south heron
blazing oak
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whats b going on about then

magic garnet
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guys heres the solutions, Ive highlighted it, I got a value for k right, but its not the answer...

Screenshot_2023-11-12_064932.png
blazing oak
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yea that makes sense

blazing oak
magic garnet
blazing oak
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there is just one value of k?

magic garnet
blazing oak
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wdym one solution

magic garnet
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How does finding k first only equate to find one solution cause i thought initally that I'd find all

blazing oak
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since you can substitute it using the second euqation

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and then use that value of p which is now a constant

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so we have a point 1,something

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and we want k so that it lies on that line

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then you just solve the systems

magic garnet
# blazing oak then you just solve the systems

Oh I see, I get that. But still is my working out wrong, because it still make sense to me despite it being wrong. I just don't understand how my k value is very wrong and why, since the maths looks right to me, using discriminant etc. Plus, how does finding k first, mean I get only one solution, I don't get that part?

blazing oak
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uhh you tried solving the systems of equations

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and tried to find a value k such that there was only one solution to the system

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which isnt the correct approach

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your algebra was correct tho

magic garnet
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Hi sorry what does systems of equations mean?

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I know I sound kinda dumb but I've never heard that term used before

blazing oak
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oh

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simutanious equations?

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not your fault different places use different terminology

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i botched that spelling so hard apologies

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simultaneous

magic garnet
fleet solsticeBOT
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@magic garnet has given 1 rep to @blazing oak

blazing oak
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yw!

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you do know that term right

magic garnet
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I know simultaneous equations, I still am a little bit confused but I'm getting there.

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Also, where are you from since you're up so early, if you don't mind me asking? 😂

blazing oak
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,ti

civic currentBOT
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The current time for random1785 is 12:13 AM (PST) on Sun, 12/11/2023.

blazing oak
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its quite late for me haha

magic garnet
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Oh wow, it's 8 in the morning for me

magic garnet
blazing oak
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not quite

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canadian

magic garnet
unkempt raptor
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bro out here revealing info he never told us to a random person 3am

magic garnet
magic garnet