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Question

# For a quadratic equation of the form ax2+bx+c=0; a,b,c∈R, a≠0, which of the given statements is/are true?

A
D<0, the roots are imaginary
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B
D=0, the roots are real and equal
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C
D>0, the roots are real and distinct
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D
D<0, the roots are real and distinct
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Solution

## The correct option is C D>0, the roots are real and distinctFor a quadratic equation of the form ax2+bx+c=0; a,b,c∈R, a≠0 The Discriminant is given as D=b2−4ac. The three possible cases for the discriminant are: a.D>0 In this case the roots are real but distinct. b.D<0 In this case the roots are imaginary. c.D=0 In this case the roots are real and equal.

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