Algebra

Question

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Given (14x + 22)/(x + 2) = -3x - 1, compute the sum of all the possible values of x. Express your answer as a fraction.

Guest Dec 12, 2021

Guest · Answer 1 · 2021-12-12T02:21:10

I don't think that there are any answers for x so the answer would be 0.

TaliaArticula · Answer 2 · 2021-12-12T04:17:32

Hey there, Guest!

Step 1: Multiply both sides by x+2.

$14x+22=−3x^2−7x−2$

$14x+22−(−3x^2−7x−2)=−3x^2−7x−2−(−3x^2−7x−2)$

$3x^2+21x+24=0$

Quadratic Formula:

$x=\frac{−b±√b2−4ac}{2a}$

$x=\frac{-7}{2}+\frac{1}{2}\sqrt{17}$

And that's the answer.

Hope this helped! :)