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Question

The equation x2-3x+2=0 has


A

No real root

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B

One real root

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C

Two real root

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D

Four real root

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Solution

The correct option is D

Four real root


Explanation for the correct answer:

Find the number of roots of the given equation.

A equation x2-3x+2=0 is given.

Rewrite the given equation as follows:

x2-3x+2=0

Find the roots of the above equation using quadratic formula.

x=3±32-4·1·22·1x=3±9-82x=3±12x=3±12x={1,2}

Since, values of x are {1,2}.

Therefore, values of x are -2,-1,1,2.

So, there are four roots of the given equation.

Hence, option D is correct .


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