Find whether the following equations have real roots. If real roots exist, find them.

Question

Philoid · Accepted Answer

To check whether the quadratic equation has real roots or not, we need to check the discriminant value i.e.,

D = b² - 4ac

Given,

⇒

⇒ 3x – 8 = 2x² - 3x - 10x + 15

⇒ 2x² - 11x + 23 = 0

⇒ D = (-11)² - 4(2) (23)

⇒ D = 121 – 184 < 0

Hence, the roots are imaginary.