Question

Solve for x: `3x^2-2sqrt6x+2=0`

Answer 1

The given quadratic equation is `3x^2-2sqrt6x+2=0`

Comparing with the quadratic equation ax² + bx + c = 0, we have

`a=3,b=-2sqrt6` and `c=2`

Discriminant of the given quadratic equation,

`D=b^2-4ac=(2sqrt6)^2-4xx3xx2=24-24=0`

`therefore x=((-2sqrt6)^2+-sqrt0)/(2xx3)`       `therefore x=(-b+-sqrtD)/(2a)`

`rArr x=2sqrt6/6`

`rArrx=sqrt6/3`

Thus, the solution of the given quadratic equation is `x=sqrt6/3`.