Question

Solve the following quadratic equations by factorization method.
(i) x² –5x + 6 = 0

Answer 1

Given: x² –5x + 6 = 0

On splitting the middle term –5x as – 3x – 2x, we get:

x² – 3x – 2x + 6 = 0

$\Rightarrow$x(x – 3) – 2(x – 3) = 0

$\Rightarrow$(x – 3) (x – 2) = 0

We know that if the product of two numbers is zero, then at least one of them must be zero.

Thus,

x – 3 = 0 or x – 2 = 0

$\Rightarrow$x = 3 or x = 2

Therefore, the solution of the given equation is x = 3, 2.