Question

`x^2+3sqrt3-30=0` 

Answer 1

We write, `3sqrt3x=5sqrt3x-2sqrt3x   as   x^2xx(-30)=-30x^2=5sqrt3x  x(-2sqrt3x)`  

∴`x^2+3sqrt3x-30=0` 

⇒`x^2+5sqrt3x-2sqrt3x-30=0` 

⇒ `x(x+5sqrt3)-2sqrt3(x+5sqrt3)=0` 

⇒`(x+5sqrt3) (x-2sqrt3)=0` 

⇒`x+5sqrt3=0  or  x-2sqrt3=0` 

⇒`x=-5sqrt3  or  x=2sqrt3` 

Hence, the roots of the given equation are `-5 sqrt3` and `2sqrt3`