Question

What will be the nature of the roots of the quadratic equation 5x^2 – 11x + 13?

(a) Imaginary

(b) Real

(c) Irrational

(d) Equal

I had been asked this question in an internship interview.

Enquiry is from Quadratic Equation in section Quadratic Equation of Mathematics – Class 10

Answer 1

Correct answer is (a) Imaginary

Explanation: To check the nature of the roots, the discriminant must be either equal to zero, less than zero or greater than zero.

Discriminant = b^2 – 4ac = – 11^2 – 4 × 5 × 13 = 121 – 260 = – 139

Since discriminant is less than zero, the roots of the equation are imaginary.