# Find the roots of the quadratic equations 2x^2 + x + 4 = 0 by applying the quadratic formula. - Mathematics

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

#### Solution

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.

Concept: Solutions of Quadratic Equations by Completing the Square
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#### APPEARS IN

NCERT Class 10 Maths