Question

Solve the following quadratic equations by factorization: 

`x^2 – (a + b) x + ab = 0`

Answer 1

`x^2 – (a + b) x + ab = 0`
⟹ `X^2 – ax – bx + ab = 0`
⟹ `x(x – a) – b (x – a) = 0`
⟹` x(x – a) (x – b) = 0`
Since `x – a = 0  "Or"  x – b = 0`
Then ` x = a  "Or"  x = b`