Find the roots of the quadratic equation 3x^2 - 2root6x + 2= 0 by factorisation.
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We have here,
3x²-2√6x+2=0
Multiplying x² coefficient and constant term we get 6
Splitting 6 in the terms of the middle term
By splitting the middle term,
→3x²-√6x-√6x+2=0
→√3x(√3x-√2)-√2(√3x-√2)=0
→(√3x-2)²
→√3x-√2=0
→x = √2/√3
The roots of the equation are √2/√3 and √2/√3
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