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If the value of the Discriminant function of a quadratic equation is D = 27, then its roots are
  • a)
    Distinct, Rational
  • b)
    Same Irrational
  • c)
    Distinct, Irrational
  • d)
     Same, Rational
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the value of the Discriminant function of a quadratic equation is D...
Quadratic equation is a polynomial equation of degree two, which can be written in the form of ax² + bx + c = 0. The discriminant of a quadratic equation is given by D = b² - 4ac. It is a function of the coefficients of the quadratic equation and is used to determine the nature of the roots of the equation.

Distinct and Irrational Roots

If the value of the discriminant is positive and a perfect square, then the roots of the quadratic equation are distinct and rational. If the value of the discriminant is positive but not a perfect square, then the roots of the quadratic equation are distinct and irrational.

Same and Rational Roots

If the value of the discriminant is zero, then the roots of the quadratic equation are same and rational. If the value of the discriminant is negative, then the roots of the quadratic equation are complex conjugates.

Given, D = 27

From the above discussion, we know that if the value of the discriminant is positive and not a perfect square, then the roots of the quadratic equation are distinct and irrational.

Therefore, the correct answer is option C, which states that the roots of the quadratic equation are distinct and irrational.
Free Test
Community Answer
If the value of the Discriminant function of a quadratic equation is D...
D=27
then the nature of the roots will be irrational, distinct
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If the value of the Discriminant function of a quadratic equation is D = 27, then its roots area)Distinct, Rationalb)Same Irrationalc)Distinct, Irrationald)Same, RationalCorrect answer is option 'C'. Can you explain this answer?
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