Find the roots of quadratic equations by the method of completing the

1.	Find the roots of quadratic equations by the method of completing the square:4x²+4√3x+3
Answer» We have,\xa0{tex}4x^2 + 4 \\sqrt3 x + 3 = 0{/tex}{tex}\\implies (2x)^2 + 2 (2x) (\\sqrt3) + (\\sqrt3)^2 = 0{/tex}{tex}\\implies (2x + \\sqrt3)^2 = 0{/tex}{tex}\\implies 2x + \\sqrt3 = 0,\\, 2x + \\sqrt3 = 0{/tex}{tex}\\implies x = -{\\sqrt3 \\over 2},\\, -{\\sqrt3 \\over2}{/tex}{tex}\\therefore x = -{\\sqrt3 \\over 2},\\, -{\\sqrt3 \\over2}{/tex}\xa0are the required roots.

Discussion