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The equation 9x^2 – 2x + 5 is not true for any real value of x.(a) False(b) TrueI got this question in an interview.My doubt is from Quadratic Equation in chapter Quadratic Equation of Mathematics – Class 10

Answer»

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.



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