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

Question

Find whether the following equations have real roots. If real roots exist, find them. -2x 2 + 3x + 2 = 0

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, -2x² + 3x + 2 = 0

∴ D = 3² - 4(-2) (2)

⇒D = 9 + 16 > 0

Hence, the roots are real and distinct.

To find the roots, use the formula,