Question

Solve the following quadratic equations by factorization:

x² + 2ab = (2a + b)x

Answer 1

We have been given

x² + 2ab = (2a + b)x

x2 - (2a + b)x + 2ab = 0

x2 - 2ax - bx + 2ab = 0

x(x - 2a) - b(x - 2a) = 0

(x - 2a)(x - b) = 0

Therefore,

x - 2a = 0

x = 2a

or,

x - b = 0

x = b

Hence, x = 2a or x = b