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√3x2 -2√2x-2√3=0, the given equation is quadratic equation.
It's form is ax2+bx+c=0.
a= √3, b= -2√2 , c= -2√3 .
Hence x= -b±√(b^2-4ac)/2a.
x= 2√2± √(8 +24)/2√3.
x= 2√2± √(32)/2√3 = x= (2√2±4√2)/2√3,
x= (2√2+4√2)/ 2√3 and ( 2√2-4√2) / 2√3 .
We get √6 and -√6/3. Hence the values of x are √6 and -√6/3
Hope this helps you......
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