Find whether the following equations have real roots. If real roots exist, find them.
8x² + 2x – 3 = 0

Question

Find whether the following equations have real roots. If real roots exist, find them. 8x 2 + 2x – 3 = 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

∴ D = 2² - 4(8) (-3)

⇒D = 4 + 96 > 0

Hence, the roots are real and distinct.

To find the roots, use the formula,

Find whether the following equations have real roots. If real roots exist, find them.8x2 + 2x – 3 = 0