What is x->2(2/((x-1))) ?

The solution to x->2(2/((x-1))) is (1-sqrt(17))/2 (1+sqrt(17))/2

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x->2(2/((x-1)))

x - > 2 (\frac{2}{( x - 1 )})

\frac{1 - 17}{2} < x < 1 or x > \frac{1 + 17}{2}

Interval Notation

(\frac{1 - 17}{2}, 1) \cup (\frac{1 + 17}{2}, \infty)

Decimal Notation

- 1.56155 \dots < x < 1 or x > 2.56155 \dots

Solution steps

x > 2 \cdot \frac{2}{x - 1}

Rewrite in standard form

\frac{x ( x - 1 ) - 4}{x - 1} > 0

Identify the intervals

\frac{1 - 17}{2} < x < 1 or x > \frac{1 + 17}{2}

\frac{( x + 5 )}{( x ^{2} - 3 x - 4 )} > 0

\frac{( x + 2 )}{( x - 1 )} \leq 0

\frac{8 - 3 x ^{2}}{( x ^{2} ) + x - 2} > 0

(x - 1) (4 - x) (x - 5)^{2} < 0

4 x^{2} - 7 x - 15 > 0

What is x->2(2/((x-1))) ?
The solution to x->2(2/((x-1))) is (1-sqrt(17))/2 <x<1\lor x>(1+sqrt(17))/2