If the discriminant of a quadratic equation is greater than zero, then its roots are

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real and distinct

complex

equal and real

None

answer is A.

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Detailed Solution

An equation in the form

a x 2 + b x + c = 0, a ≠ 0

is called quadratic equation in one variable x, where a, b, c are constants.
We know that discriminant (D) determines if a given equation is real or not.

D = b 2 − 4 a c

D > 0

then equation therefore has two different and real roots.
If

D = 0

then equation has equal and real roots.
If

D < 0

then equation has no real roots.
As a result, if the discriminant of a quadratic equation is larger than zero, the roots are real and distinct.
The correct option is (1).

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