Question

Find the roots of the quadratic equations 2x² + x + 4 = 0 by applying the quadratic formula.

Answer 1

2x² + x + 4 = 0

On comparing this equation with ax² + bx + c = 0, we get

a = 2, b = 1 and c = 4

By using quadratic formula, we get

`x = (-b±sqrtb2 - 4ac)/(2a)`

`⇒ x = (-1±sqrt(1-32))/4`

`⇒ x = (-1±sqrt(-31))/4`

The square of a number can never be negative.

∴There is no real solution of this equation.