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Popular >

x-6> 2/x

Solution

x - 6 > \frac{2}{x}

Solution

3 - 11 < x < 0 or x > 3 + 11

+2

Interval Notation

(3 - 11, 0) \cup (3 + 11, \infty)

Decimal Notation

- 0.31662 \dots < x < 0 or x > 6.31662 \dots

Solution steps

x - 6 > \frac{2}{x}

Rewrite in standard form

\frac{x ^{2} - 6 x - 2}{x} > 0

Factor

x^{2} - 6 x - 2 : (x - 3 - 11) (x - 3 + 11)

\frac{( x - 3 - 11 ) ( x - 3 + 11 )}{x} > 0

Identify the intervals

3 - 11 < x < 0 or x > 3 + 11

Popular Examples

4(3x+5)=3(5x-3)

4 (3 x + 5) = 3 (5 x - 3)

7 (x - 8) = - 35

simplify (ab^2)^{-4}simplify

(a b^{2})^{- 4}

z^{2} + 3 z - 54 = 0

8 n = n^{2} + 15

Frequently Asked Questions (FAQ)

What is x-6> 2/x ?
The solution to x-6> 2/x is 3-sqrt(11)<x<0\lor x>3+sqrt(11)