Question

$4\sqrt{3 - \frac{1}{x} } - \sqrt{ \frac{x}{3x - 1} } = 3$
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Answer 1

3 - 1/x = 3x-1/x

x/3x-1 = 1/(3x-1/x)

√3x-1/x = t, t>0:

4t - 1/t = 3|•t

4t²-3t-1 = 0

a+b+c = 0(4-3-1 = 0):

t1 = 1

t2 = c/a = -1/4, ∅

√(3 - 1/x) = 1

3 - 1/x = 1

1/x = 2

x = 1/2 = 0.5