Find the roots of 4x^2+4\sqrt{3}x+3=0 quadratic equations, if they exist, by the method of completing the square ?

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Solution:

⇒ Given

$Find the roots of 4x^2+4\sqrt{3}x+3=0 quadratic equations, if they exist, by the method of completing the square ?Chapter-4,Exercise-4.3,Math- Class10$

∴ a = 4, b = 4√3 , c = 3

⇒From Discriminant Formula

$\large =b^{2}-4ac$

$⇒From Discriminant Formula$

$\large =16\times 3-16\times 3$

$\large =48-48$

$\large \Rightarrow 0=0$

⇒This Equation have two equal real roots.

⇒Finding Real Roots by Completing Square Method

$Find the roots of 4x^2+4\sqrt{3}x+3=0 quadratic equations, if they exist, by the method of completing the square ?Chapter-4,Exercise-4.3,Math- Class10$