106k views
4 votes
PLEASE HELP!!!! Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work.

x = _____ or _____

PLEASE HELP!!!! Solve the equation. Check for extraneous solutions. Type your answers-example-1

2 Answers

1 vote

Answer:

-3

Explanation:

User Kozuch
by
7.8k points
3 votes
|4x+3|=9+2x if we square both sides, we can eliminate the absolute values signs...

16x^2+24x+9=81+36x+4x^2 subtract the right side from both sides

12x^2-12x-72=0 now we can factor

12(x^2-x-6)=0

12(x^2+2x-3x-6)=0

12(x(x+2)-3(x+2)=0

12(x-3)(x+2)

So:

x= -2 or 3


User Ramesh Navi
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.