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. 5x 2 - 2x – 10 = 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, 5x² - 2x – 10 = 0

∴ D = (-2)² - 4(5) (-10)

⇒ D = 4 + 200 > 0

Hence, the roots are real and distinct.

To find the roots, use the formula,