# 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

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

Concept: Solutions of Quadratic Equations by Completing the Square
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#### APPEARS IN

NCERT Class 10 Maths
Exercise 4.3 | Q 1.3 | Page 87
RD Sharma Class 10 Maths