The expression will become; (x - 4)² = 36 Now by using the formula; (a-b)² = a² -2ab + b² (x - 4)² = x² - 2(x)(4) + 4² = x² - 8x +16 Now the expression will be; x² - 8x + 16 = 36 x² - 8x + 16 - 36 = 0 x² - 8x - 20 = 0 Now by using factorization method; x² -10x + 2x -20 = 0 , -10 + 2 = 8 and -10 x 2 = -20 x(x-10) + 2 (x - 10) = 0 (x -10) (x +2) = 0 Now either x - 10 = 0 or x+2 = 0 it means x = 10 or x -2 So, the possible values of x are 10 and -2.
