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If the discriminant of a quadratic equation is 4, which statement describes the roots?

-2 complex roots
-2 real roots
-1 real root
-1 complex root
PLEASE HELP

User OTZ
by
7.2k points

2 Answers

4 votes

Answer:

Statement which describes the roots is:

2 real roots

Explanation:

If the discriminant D of a quadratic equation follows:

D=0 then there are 2 equal real roots or 1 real root

D>0 then there are 2 unequal real roots

and if D<0 then there are 2 complex roots

Here, we are given the discriminant of a quadratic equation is 4

i.e. D=4 >0

So, it means quadratic equation has 2 real roots

Hence, statement which describes the roots is:

2 real roots

Hence, statement which describes the roots is:

2 real roots

User Rushik
by
7.0k points
6 votes
The best and the correct answer among the choices provided by the question is the second choice.

An equation can have 2 real roots if the discriminant is 4.

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
User Zep
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8.1k points