Question

RATIONAL EQUATIONSSSSS
PLEASE HELP SHOWING WORK

Answer 1

x=1, x=5

Explanation:

4(x-2)=(x-3)(x+1)

4x - 8 = x^2 + x - 3x - 3

4x - 8 = x^2 -2x -3

4x - 8 - x^2 + 2x + 3 = 0

-x^2 + 6x - 5 = 0

-x^2 + 5x + x - 5 =0

-x(x - 5) + (x - 5) = 0

(-x + 1)(x - 5) = 0

-x + 1 = 0 or x - 5 =0

x=1, x=5