# Algebra 2

Michaela is solving rational equations.

A. What is the solution set of the equation ...

x^2-7x+12 (all over or divided by) x^2+x-12 both equal to 3.

What I did first was factor both equations geting (x-4) on the top and (x+4) on the bottom both equal to 3. I am confused on what to do with the 3.

I checked the calculator online and the answer is said to be -8 but I don't know how they got that. Someone show me the steps. Thankyou.

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1. So I read that as:

(x^2-7x+12)/(x^2+x-12) = 3
(x-3)(x-4)/((x+4)(x-3)) = 3
(x-4)/(x+4) = 3/1
cross-multiply
3x+12 = x-4
2x = -16
x = -8

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posted by Reiny

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