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What will be the nature of the roots of the quadratic equation 2x^2 + 10x + 9?(a) Imaginary(b) Real(c) Irrational(d) EqualI had been asked this question in a job interview.Question is taken from Quadratic Equation in chapter Quadratic Equation of Mathematics – Class 10

Answer»

Right choice is (b) Real

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 = 10^2 – 4 × 2 × 9 = 100 – 72 = 28

Since discriminant is greater than zero, the roots of the equation are real and distinct.



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