Question

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

A

Two distinct real roots

B

Two equal roots

C

No real roots

D

Cannot be determined

Solution

## The correct option is C Two distinct real roots For a quadratic equation ax2+bx+c=0, discriminant, D = b2–4ac. 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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