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Question
Solve for x: `3x^2-2sqrt6x+2=0`
Solution
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`.
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