Question

The equation 9x^2 – 2x + 5 is not true for any real value of x.

(a) False

(b) True

I got this question in an interview.

My doubt is from Quadratic Equation in chapter Quadratic Equation of Mathematics – Class 10

Answer 1

Correct choice is (b) True

For explanation I would say: 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 = -2^2 – 4 × 9 × 5 = 4 – 180 =  -176

Since discriminant is less than zero, the roots of the equation are imaginary. Hence, for any real value of x the equation is not true.