Question

Solve `sqrt3x^2+10x-8sqrt3=0`

Answer 1

`sqrt3x^2+10x-8sqrt3=0` 

⇒ `sqrt3x^2+12x-2x-8sqrt3=0` 

⇒`sqrt3x(x+4sqrt3)-2(x+4sqrt3)=0` 

⇒`(x+4sqrt3) (sqrt3x-2)=0` 

⇒`x+4sqrt3=0  or  sqrt3x-2=0` 

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

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