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Popular >

(x^2-5)/x+5>= x

Solution

\frac{x ^{2} - 5}{x} + 5 \geq x

Solution

x < 0 or x \geq 1

+1

Interval Notation

(- \infty, 0) \cup [1, \infty)

Solution steps

\frac{x ^{2} - 5}{x} + 5 \geq x

Rewrite in standard form

\frac{5 x - 5}{x} \geq 0

Factor

\frac{5 x - 5}{x} : \frac{5 ( x - 1 )}{x}

\frac{5 ( x - 1 )}{x} \geq 0

Divide both sides by

5

\frac{\frac{5 ( x - 1 )}{x}}{5} \geq \frac{0}{5}

Simplify

\frac{x - 1}{x} \geq 0

Identify the intervals

x < 0 or x \geq 1

Popular Examples

r - 7 = 1

2x^2+1=x^2+3x-1

2 x^{2} + 1 = x^{2} + 3 x - 1

3 (x - 9) > - 18

simplify 0.25^2*2.4+0.25*2.4^2-0.25*2.4*0.65 simplify

0.2 5^{2} \cdot 2.4 + 0.25 \cdot 2. 4^{2} - 0.25 \cdot 2.4 \cdot 0.65

200x-x^2=5x+8450

200 x - x^{2} = 5 x + 8450

Frequently Asked Questions (FAQ)

What is (x^2-5)/x+5>= x ?
The solution to (x^2-5)/x+5>= x is x<0\lor x>= 1