Question

Solve the following equation by factorisation method:

x² + ax − bx − ab = 0

Answer 1

Given:

x² + ax − bx − ab = 0

(x² + ax) − (bx + ab) = 0

x(x + a) − b(x + a) = 0

(x − b) (x + a) = 0

x − b = 0

⇒ x = b

x + a = 0

⇒ x = −a

x = b or x = −a​