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Mathematics 24 Online
Joe348:

math

Joe348:

1 attachment
Eveeeeeeeee14:

16+24x-35

Eveeeeeeeee14:

16+24x-35 16+-35= 51 51*24= x= 1224 there you go joe

carmelle:

Eve, that is incorrect. We are completing the square, NOT solving for x right now.

carmelle:

The first thing you have to do is get (-35) to the other side of the equation so that it can become our constant (which is c). So we have to add -35 from both sides. \[4x ^{2}+24x~ (+35)=-35~(+35)\] do you understand?

carmelle:

add 35*

Joe348:

yes

Joe348:

so \[4x^2+24x+35=0?\]

carmelle:

yes, correct, that was i was about to write :) Now, we can do this 2 ways, we can factor this out OR you can use the quadratic formula. which do you prefer?

Joe348:

what is the quadratic formula?

Joe348:

oh the little b+ thingy?

carmelle:

yes, personally i think factoring is easier, which do you want to do?

Joe348:

which ever is easy for you to help me.

carmelle:

alright, so first off, do you know how to factor?

Joe348:

no😐

carmelle:

oh, do you at least know the concept? or how to do it? if you dont, here are a few tutorials: https://www.mathsisfun.com/algebra/factoring-quadratics.html https://www.cuemath.com/algebra/factorization-of-quadratic-equations/ https://www.youtube.com/watch?v=ZQ-NRsWhOGI

Joe348:

well ill just use the quadratic

carmelle:

yea lets do that one instead... Equation: \[x =\frac{ -b \pm \sqrt{b ^{2}-4(a)(c)} }{ 2a }\] you know your a,b, and c values, right?

Joe348:

uh let me see

Joe348:

a=4 b=24 c=35

Joe348:

right?

carmelle:

yes :D

Joe348:

okay now what?

carmelle:

plug in the values and solve... lemme make it a little easy and help... \[x =\frac{ -24 + \sqrt{24 ^{2}-4(4)(35)} }{ 2(4) }\] \[x =\frac{ -24 - \sqrt{24 ^{2}-4(4)(35)} }{ 2(4) }\] basically, you solve for x for each one...

Joe348:

okay I got it now thank you

carmelle:

ok great, what did you get as your final answers?

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