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

√2x^{2} + 7x + 5√2 = 0

Given:

Comparing with standard quadratic equation ax^{2} + bx + c = 0

Discriminant D = b^{2} – 4ac

= 49 – 40 = 9 > 0

Hence the roots of equation are real.

Roots are given by

Hence the roots of equation are

9