How do you solve #|x+1|=|3x-2|#?

1 Answer
Feb 1, 2017

Answer:

Solution #x= 1/4 or x =3/2#

Explanation:

# |x+1| = |3x-2| # squaring both sides we get , #(x+1)^2 = (3x-2)^2 or x^2+2x+1 = 9x^2 -12x +4 or 8x^2 -14x +3 =0 or 8x^2 -12x -2x+3 =0 or 4x(2x-3) - 1(2x-3)=0 or (4x-1)(2x-3)=0 :. #Either #(4x-1)=0 :. x= 1/4 # Or #(2x-3)=0 :. x =3/2#

Solution #x= 1/4 or x =3/2#[Ans]