Question

Find the roots of the following equation using factorisation method.
$x^2-5x+6=0$

Answer 1

$x^2-5x+6=0$

Or, $x^2-2x-3x+6=0$

Or, $x(x-2)-3(x-2)=0$

Or, $(x-2)(x-3)=0$

Either\quad $x-2=0ORx-3=0$

$\therefore x=2x=3$

Ans: The roots are $2$ and $3$.