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

2x^{2} + x – 4 = 0

Given: 2x^{2} + x – 4 = 0

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

a = 2, b = 1, c = – 4

Discriminant D = b^{2} – 4ac

= (1)^{2} – 4.2. – 4

= 1 + 32 = 33 > 0

Hence the roots of equation are real.

Roots are given by

Hence the roots of equation are

4