Question

factorise $\bf\: x^2 - 5x +6 = 0$​

Answer 1

Hey mate!

Here is ur answer...

Given, quadratic equation is

x^2 -5x+6 = 0

x^2 -2x -3x +6 = 0

x(x-2) -3(x-2) = 0

(x-2) (x-3) = 0

(x-3) = 0 => x = 3

(x-2) = 0 => x = 2

Hope it helps u..

Answer 2

Answer :-

(x - 2)(x - 3) = 0

Explanation :-

$\sf\implies\: x^2 - 5x + 6 = 0 \\ \\ \\ \sf\implies\: x^2 - 2x - 3x + 6 = 0 \\ \\ \\ \sf\implies\: x (x - 2) - 3 (x - 2) = 0 \\ \\ \\ \qquad\large {\boxed {\bf { (x - 2)(x - 3) = 0}}}$

Steps :-

• Break the Expression into groups

• Factor out x from x^2 - 2x : x (x - 2)

• Factor out the Common term : x - 2