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Popular >

5x+50<x^2

Solution

5 x + 50 < x^{2}

Solution

x < - 5 or x > 10

+1

Interval Notation

(- \infty, - 5) \cup (10, \infty)

Solution steps

5 x + 50 < x^{2}

Rewrite in standard form

5 x + 50 - x^{2} < 0

Factor

5 x + 50 - x^{2} : - (x + 5) (x - 10)

- (x + 5) (x - 10) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 5) (x - 10)) (- 1) > 0 \cdot (- 1)

Simplify

(x + 5) (x - 10) > 0

Identify the intervals

x < - 5 or x > 10

Popular Examples

2 x + 10 \geq - 4

((x+5)^2(x+3)^2)/(x^2-1)<0

\frac{( x + 5 ) ^{2} ( x + 3 ) ^{2}}{x ^{2} - 1} < 0

8 (x - 4) \geq 40

simplify (9/4)^{-3/2}simplify

(\frac{9}{4})^{- \frac{3}{2}}

3 x - 2 < 5 x

Frequently Asked Questions (FAQ)

What is 5x+50<x^2 ?
The solution to 5x+50<x^2 is x<-5\lor x>10