Question

♤♤hey frnds❤......

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Good afternoon to all ....

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plz solve my querie ...☺☺⬇️⬇️

☆Solve this quadratic equation ,if possible , by the method of completing the square..

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$4x^{2} + 4 \sqrt{3} x + 3 = 0$

hurry up plz ✌❤

Answer 1

Hii There!!!

Given that :- 4x^2 + 4√3x + 3 =0

Here dividing the entire equation by 4 we get ;

=) x2 +√3x + 3/4 = 0 

or x2 +√3x = -3/4

Since, Third term = (1/2 ×coefficient of x)2

=) (1/2 ×√3)2

=) 3/4


Now adding (3/4)^2 on both sides of the equation we get :-
=) x2 +√3x + 3/4 = -3/4 +3/4

=) x2 +√3x + 3/4 = 0

Now, on taking square root on both sides of the equation ,

=) x +√3/2) = 0 

Hence the value of x = -√3/2


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Hope it helps ^_^

Answer 2

The answer is explained in the attachment.

Hope it helps!