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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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