Question

6x-2/x=solution by factorization meathod
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Answer 1

SOLUTION

$6x - \frac{2}{x} =1 \\ = 6x {}^{2} - 2 = x \\ = > 6x {}^{2} - x - 2 = 0 \\ = > 6x { }^{2} - 4x + 3x - 2 = 0 \\ = > 2x(3x - 2) + 1(3x - 2) = 0 \\ = > (3x - 2)(2x + 1) = 0 \\ \: so \: eithr \: \: x = \frac{ - 1}{2} \\ or \: \: x = \frac{2}{3}$

Answer 2

$\boxed{\boxed{\huge{\green{\mathfrak{\underline{Answer}}}}}}$

$6x - \frac{2}{x} = 0 \\ \frac{6x {}^{2} - 2 }{x} = 0 \\ 6x {}^{2} - 2 = 0 \\ 6x {}^{2} = 2 \\ {x}^{2} = \frac{2}{6} \\ {x}^{2} = \frac{1}{3}$

The two zeroes are

-1/√3,+1/√3