Question

(2x² - 7x - 10) = (x - 4).

Answer 1

(2x^2 - 7x - 10) = (x - 4)

2x^2 - 7x - 10 - x - 4 = 0

2x^2 - 8x - 14 = 0

x^2 - 4x - 7 = 0

x^2 - 4x = 7

x^2 - 4x + (2)^2 = 7 + (2)^2

(x - 2)^2= 11

x - 2 = squared root (11) x - 2 = -squared root 11

x = 2 + squared root 11 x = 2 - squared