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# The equation

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206
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The equation

24x2+25x−47

ax−2

=−8x−3−

53

ax−2

is true for all values of x≠

2

a

, where ais a constant.

What is the value of a?

A) -16
B) -3
C) 3
D) 16

Dec 7, 2018

#1
0

Wondering if you might re-write the equation?     Seems a bit weird.....

Dec 7, 2018
#3
0

The equation

24x2+25x−47ax−2=−8x−3−53ax−2     Is the equation?

ElectricPavlov  Dec 7, 2018
#4
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The whole question is the equation, not the answears

Guest Dec 7, 2018
#6
0

I understand that, BUT is THIS the equation you meant to post? (look carefully)

24x2+25x−47ax−2=−8x−3−53ax−2

ElectricPavlov  Dec 7, 2018
#5
-1

Do you mean...

$$24x^2+25x-47ax-2=-8x-3-53ax-2$$ and it's true for all values of $$x$$ that's not 2 , solve for $$a$$ ? It's kind of hard with your format, but...

That equals $$24x^2+33x+6ax=0$$ and we can factor this: $$x(24x+6a+33)=0$$

Since $$x$$ is not 2, let's plug in 2 to see what we can exclude!

$$2(24\times 2+6a+33)=2(48+6a+33)=2(81+6a)$$ and if that equals zero then $$a=-\frac{81}{6}$$

However, that's not one of the answer choices so none of the answer choices work.

That's what I think, but your formatting was not very clear, is it ok if you make it a bit neater? Thanks ;)

You are very welcome!

:P

Dec 7, 2018
edited by CoolStuffYT  Dec 7, 2018