Question

Find the roots: 4√3 x2

+5x -2√3 = 0 ​

Answer 1

Answer:

x={√3/4,2/√3}

Step-by-step explanation:

$4\sqrt3x^2+5x-2\sqrt3=0\\4\sqrt3x^2+8x-3x-2\sqrt3=0\\4x(\sqrt3 x+2)-\sqrt3(\sqrt3x+2)=0\\(4x-\sqrt3)(\sqrt3x+2)=0$

If 4x-√3=0, x=√3/4

If √3x+2=0, x=2/√3

∴x={√3/4,2/√3}