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

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

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Solution

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

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

`⇒ (2x + sqrt3)^2 = 0`

`⇒ (2x + sqrt3) = 0 `

`⇒ 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 1.3 | Page 87
RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.4 | Q 6 | Page 26
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