Which of the following equations has no real roots?

Question

Philoid · Accepted Answer

For the quadratic equation to have no real roots, the discriminant value should be negative i.e.,

D = b² - 4ac = 0

A. Given,

∴ D = b² - 4ac = 0

Hence, the roots are imaginary.

B. Given,

∴ D = b² - 4ac = 0

Hence, the roots are real and distinct.

C. Given,

∴ D = b² - 4ac = 0

Hence, the roots are real and distinct.

D. Given,

∴ D = b² - 4ac = 0

Hence, the roots are real and equal.