Question

Solve` 4sqrt3x^2+5x-2sqrt3=0`

Answer 1

`4sqrt3x^2+5x-2sqrt3=0` 

⇒ `4sqrt3x^2+8x-3x-2sqrt3=0` 

⇒`4x(sqrt3x+2)-sqrt3 (sqrt3x+2)=0` 

⇒`(sqrt3x+2=0)  or  4x-sqrt3=0` 

⇒`sqrt3+2=0  or  4x-sqrt3=0` 

⇒`x=-2/sqrt3=(-2sqrt3)/3 or x=sqrt3/4` 

Hence, `(-2sqrt3)/3 and sqrt3/4` are the roots of the given equation.