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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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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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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 1.3 | Page no. 87
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.4 | Q: 6 | Page no. 26
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.4 | Q: 6 | Page no. 26
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.
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