Question

Find the roots of the quadratic equation $x^2-3x+2=0$, using factorisation method.

• A. $1,2$
• B. $-1,2$
• C. $3,2$
• D. $-3,2$

Answer 1

The correct option is A

$1,2$

Given quadratic equation: $x^2-3x+2=0$

We need to find two numbers such that their sum is -3 and their product is 2.

These numbers are $-2and-1$ .
So, rewriting the equation as

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

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

$x(x-2)-1(x-2)=0$

$(x-1)(x-2)=0$

$x=1orx=2$

Therefore, 1 and 2 are the roots of the equation $x^2-3x+2=0$.