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What will be the nature of the roots of the quadratic equation 5x^2 – 11x + 13?(a) Imaginary(b) Real(c) Irrational(d) EqualI had been asked this question in an internship interview.Enquiry is from Quadratic Equation in section Quadratic Equation of Mathematics – Class 10

Answer»

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.



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