Question: If the discriminant of a quadratic equation is equal to zero then the roots of a quadratic equation are...
A. Real and Distinct
B. Imaginary (No Real Roots)
C. Real and Equal
D. Irrational and Distinct
Answer: C. Real and Equal
Reason: We can classify the nature of the roots of the quadratic equation by its discriminant.
If the discriminant is positive or greater than than zero (D > 0), then the quadratic equation has Real and Distinct roots. If it is a perfect square, then it is Rational. If not, then it's Irrational.
If the discriminant is negative or less than than zero (D < 0), then the quadratic equation has Distinct and Imaginary roots. In short, the roots are unreal.
If the discriminant is zero or equal to zero (D = 0), then the quadratic equation has Real and Equal roots. There will be one solution for this equation.
Answers & Comments
Answer:
DISCRIMINANT
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Question: If the discriminant of a quadratic equation is equal to zero then the roots of a quadratic equation are...
A. Real and Distinct
B. Imaginary (No Real Roots)
C. Real and Equal
D. Irrational and Distinct
Answer: C. Real and Equal
Reason: We can classify the nature of the roots of the quadratic equation by its discriminant.
If the discriminant is positive or greater than than zero (D > 0), then the quadratic equation has Real and Distinct roots. If it is a perfect square, then it is Rational. If not, then it's Irrational.
If the discriminant is negative or less than than zero (D < 0), then the quadratic equation has Distinct and Imaginary roots. In short, the roots are unreal.
If the discriminant is zero or equal to zero (D = 0), then the quadratic equation has Real and Equal roots. There will be one solution for this equation.
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