Question

OR
Find the roots of the following quadratic equation by applying the quadratic formula
4x +4√3x+3=0
​

Answer 1

$\huge\color{cyan}\boxed{\colorbox{black}{ANSWER ❤}}$

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

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

IDENTITY 1 : a² + 2ab + b² = (a + b)²

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

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

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

$2x = - \sqrt{3}$

$x = \frac{ - \sqrt{3} }{2}$