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Question

Find the roots of the quadratic equation x2−3x+2=0, using factorisation method.


A

1,2

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B

1,2

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C

3,2

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D

3,2

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Solution

The correct option is A

1,2


Given quadratic equation: x23x+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

x23x+2=0

x22xx+2=0

x(x2)1(x2)=0

(x1)(x2)=0

x=1 or x=2

Therefore, 1 and 2 are the roots of the equation x23x+2=0.


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