Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

Question

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 25x 2 + 30x + 7 = 0

Philoid · Accepted Answer

Given: 25x² + 30x + 7 = 0

Comparing with standard quadratic equation ax² + bx + c = 0

a = 25, b = 30, c = 7

Discriminant D = b² – 4ac

= (30)² – 4.25.7

= 900 – 700 = 200 > 0

Hence the roots of equation are real.

Roots are given by

Hence the roots of equation are