#### Question

Find the roots of the following quadratic equations, if they exist, by the method of completing the square `4x^2 + 4sqrt3x + 3 = 0`

#### Solution

`4x^2 + 4sqrt3x + 3 = 0`

`⇒ (2x)^2 + 2 × 2x × sqrt3 + (sqrt3)2 = 0`

`⇒ (2x + sqrt3)^2 = 0`

`⇒ (2x + sqrt3) = 0 `

`⇒ x = (-sqrt3)/2 `

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Solution Find the roots of the following quadratic equations, if they exist, by the method of completing the square 4x^2 +4√3x +3=0 Concept: Solutions of Quadratic Equations by Completing the Square.