(x-2)^2 = 3(2x-3)(2-x)suiyuan wrote:Secondary Two Maths

Hi

Solve this equation

(x-2)^2 = 3(2x-3)(2-x)

(x-2)^2 means (x-2) to the power of 2.

Please help.

Thank you.

(x-2)^2 = -3(2x-3)(x-2)

(x-2)^2 + 3(2x-3)(x-2) = 0 ( note: (2-x) = -(x-2)

(x-2)[(x-2) + 3(2x-3)] = 0

(x-2)[ x- 2 + 6x -9] = 0

(x-2)( 7x - 11) = 0

x- 2 = 0 or 7x - 11 = 0

x = 2 or 11/7