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Find the roots of the equation 3x^2-2sqr...

Find the roots of the equation `3x^2-2sqrt(6)x +2=0` by method of completing the square.

Text Solution

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`3x^2 - 2 sqrt6 x + 2 = 0`
`( sqrt3 x)^2 - 2 sqrt3 sqrt2 x + (sqrt2)^2= 0 `
`(sqrt3 x- sqrt2)^2 = 0`
`x= sqrt(2/3)`
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