Question

find the root of following quadratic equation if they exist by the method of completing the square
$4x ^{2} + 4 \sqrt{3x } + 3$

Answer 1

hello users.......

we have to find the value of x *=?

solution:-
as shown in attachment ..

answer :
value of x = -√3/2

❇❇ hope it helps ❇❇

Answer 2

QUESTION :-

Find the root of following quadratic equation if they exist by the method of completing the square

• 4x² + 4√3 x + 3 = 0

SOLUTION :-

Given : 4x² + 4√3x + 3 = 0

⟹ 4x² + 4√3x = -3

⟹ (2x)² + 2(2x) √3 = -3

LHS is of the form a² + 2ab where b = √3

⛬ Adding b² = (√3)² = 3 on both sides, we get

⟹ (2x)² + 2(2x) (√3) + (√3)² = -3 + (√3)²

⟹ (2x + √3)² = -3 + 3 =

⛬ (2x + √3)² = 0

⟹ 2x + √3 = 0

⟹ 2x = -√3

⟹ x = -√3/2