the roots of the equation are 2 and k substituting x=2 in the equation (x+4)(x-p) = 2-x (2+4)(2-p) = 2-2 6(2-p) = 0 dividing 6 both side, the answer is p = 2
substituting x in the equation we (x-4)(x-p) = 2-x x² - 2x + 4x- 8 = 2-x x² - 2x + 4x -8 -2 -x = 0 x² + 3x - 10 = 0 x² + 5x -2x - 10 = 0 x(x + 5) -2( x + 5) = 0 (x + 5)( x - 2) =0 (x + 5) = 0 or (x - 2) = 0 x = -5 and x = 2 therefor k = -5 and p = 2
