help guys | Mathematics | Page 1

cerulean iron Oct 1, 2024, 4:42 PM

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(sorry English not my first language)
when you decompose one of those ax²+bc
x+c how do you know when to do it like

ax²+bx+c=a(x-x1)(x-x2) with like the discriminant

or

ax²+bx+c and you first do it with (a+b)²=a²+2ab+b² and then (a+b)(a-b)=a²-b²

can you do it both ways on the same equation thing?? because I tried and got completely different answers idk I hope somebody understands what I'm saying

low sparrowBOT Oct 1, 2024, 4:42 PM

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cerulean iron (sorry English not my first language) when you decompose one of those ax²+bc x+c...

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twilit oak Oct 1, 2024, 4:42 PM

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i’m not quite sure what you mean

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could you send the question and your working?

cerulean iron Oct 1, 2024, 4:42 PM

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yes

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ok

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I translated the question

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Factor the quadratic ternary into multiples of 10x2 – 7√3x + 3

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and

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I did it both ways

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and idk like I got different answers

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why

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I have a test on this tomorrow I'm dead

twilit oak Oct 1, 2024, 4:48 PM

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the right one is correct

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i assume the left one contains a calculation error

cerulean iron Oct 1, 2024, 4:48 PM

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can you please help me find it

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idk what I did wrong

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also when do you use one or the other

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can you use them both anytime

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they're supposed to give the same result right

twilit oak Oct 1, 2024, 4:50 PM

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for x2 in the first solution, you were meant to add rt(27) to 7rt(3) on the numerator

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for some reason you added 4rt(3) instead

cerulean iron Oct 1, 2024, 4:51 PM

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lol why did I do that

twilit oak Oct 1, 2024, 4:51 PM

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that is the value of x1

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perhaps the confusion stemmed from that?

cerulean iron Oct 1, 2024, 4:52 PM

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omg it's the same

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that's actually wonderful

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but um

cerulean iron Oct 1, 2024, 4:53 PM

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cerulean iron also when do you use one or the other

?

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cuz our teacher taught us both and idk which one to use tomorrow

twilit oak Oct 1, 2024, 4:53 PM

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either will work

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do you find one easier than the other to use?

cerulean iron Oct 1, 2024, 4:53 PM

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I don't rlly know they're both nonsense to me

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gibberish

twilit oak Oct 1, 2024, 4:54 PM

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the quadratic formula (left method) is derived from completing the square (right method) and therefore is supposed to be quicker

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but i don’t know

cerulean iron Oct 1, 2024, 4:54 PM

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so I should use the D one

twilit oak Oct 1, 2024, 4:54 PM

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cerulean iron I have a test on this tomorrow I'm dead

by the way, if you get different results, expand it back out to see which one is correct

twilit oak Oct 1, 2024, 4:54 PM

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cerulean iron so I should use the D one

you can

cerulean iron Oct 1, 2024, 4:54 PM

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how do you expand it back out

twilit oak Oct 1, 2024, 4:55 PM

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cerulean iron how do you expand it back out

(ax+b)(cx+d) = ax(cx+d) + b(cx+d) = acx^2 + adx + bcx + bd

cerulean iron Oct 1, 2024, 4:56 PM

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oh alright

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you're actually

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an angel sent from above

#help guys