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Popular >

2x+9/x >= x-6

Solution

2 x + \frac{9}{x} \geq x - 6

Solution

x = - 3 or x > 0

+1

Interval Notation

x = - 3 \cup (0, \infty)

Solution steps

2 x + \frac{9}{x} \geq x - 6

Rewrite in standard form

\frac{x ^{2} + 9 + 6 x}{x} \geq 0

Factor

\frac{x ^{2} + 9 + 6 x}{x} : \frac{( x + 3 ) ^{2}}{x}

\frac{( x + 3 ) ^{2}}{x} \geq 0

Identify the intervals

x = - 3 or x > 0

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Frequently Asked Questions (FAQ)

What is 2x+9/x >= x-6 ?
The solution to 2x+9/x >= x-6 is x=-3\lor x>0