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

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

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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
Chapter 4 Quadratic Equations
Exercise 4.3 | Q 2.3 | Page 87
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