Question

Solve the following equation by factorization:

x² – 7x + 10 = 0

Answer 1

Given,

⇒ x² – 7x + 10 = 0

⇒ x² – 5x – 2x + 10 = 0

⇒ x(x – 5) – 2(x – 5) = 0

⇒ (x – 2)(x – 5) = 0

⇒ x – 2 = 0 or x – 5 = 0   ...[Using zero-product rule]

⇒ x = 2 or x = 5

Hence, x = {2, 5}.