# Find the roots of the quadratic equations 4x^2+4sqrt3x + 3 = 0 by applying the quadratic formula. - Mathematics

Find the roots of the quadratic equations 4x^2+4sqrt3x + 3 = 0 by applying the quadratic formula.

#### Solution

4x^2 + 4sqrt3x + 3 = 0

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

a = 4, b =  4sqrt3 and c = 3

By using quadratic formula, we get

x = (-b±sqrtb2 - 4ac)/(2a)

⇒ x = (-4sqrt3±sqrt48-48)/8

⇒ x = (-4sqrt3±0)/8

∴ x = (-sqrt3)/2

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

NCERT Class 10 Maths