Solve the following quadratic equation by factorization method: 4(√3)x2 + 5x - 2√3 = 0

quadratic equation by factorization method: 4(√3)x2 + 5x

Q) Solve the following quadratic equations by factorization method:

$4\sqrt{3}x^2 + 5x - 2\sqrt{3} = 0$

Ans:

$4\sqrt{3}x^2 + 5x - 2\sqrt{3} = 0$

$4\sqrt{3} x^2 +8x -3x -2\sqrt{3}=0$

$4x(\sqrt{3} x+2) -\sqrt{3}(\sqrt{3}x +2) =0$

$(\sqrt{3}x +2)(4x -\sqrt{3}) =0$

$(\sqrt{3}x +2)=0\implies x=-\frac{2}{\sqrt{3}}$

$or$

$(4x -\sqrt{3}) =0\implies x=\frac{\sqrt{3}}{4}$

Please do press “Heart” button if you liked the solution.