Find the roots of the quadratic equation x2−3x+2=0, using factorisation method.
1,2
Given quadratic equation: x2−3x+2=0
We need to find two numbers such that their sum is -3 and their product is 2.
These numbers are −2 and −1 .
So, rewriting the equation as
x2−3x+2=0
x2−2x−x+2=0
x(x−2)−1(x−2)=0
(x−1)(x−2)=0
x=1 or x=2
Therefore, 1 and 2 are the roots of the equation x2−3x+2=0.