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Question

Find the nature of roots of a quadratic equation, if its discriminant is equal to 4.



Correct Answer
A

Two distinct real roots

Your Answer
B

Two equal roots

Your Answer
C

No real roots

Your Answer
D

Cannot be determined


Solution

The correct option is C

Two distinct real roots


For a quadratic equation ax2+bx+c=0,

discriminant, D = b24ac.

We know that if

(i) D > 0, the equation will have two distinct real roots

(ii) D = 0, the equation will have two equal roots

(iii) D < 0, the equation will have no real roots

Here, since D = 4 > 0, the quadratic equation will have two distinct real roots.

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