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Popular >

0<6x-x^2-5

Solution

0 < 6 x - x^{2} - 5

Solution

1 < x < 5

+1

Interval Notation

(1, 5)

Solution steps

0 < 6 x - x^{2} - 5

Switch sides

6 x - x^{2} - 5 > 0

Factor

6 x - x^{2} - 5 : - (x - 1) (x - 5)

- (x - 1) (x - 5) > 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 1) (x - 5)) (- 1) < 0 \cdot (- 1)

Simplify

(x - 1) (x - 5) < 0

Identify the intervals

1 < x < 5

Popular Examples

simplify 5/(-5-3sqrt(3))simplify

\frac{5}{- 5 - 3 3}

- 17 + \frac{n}{5} = 33

factor x^3-30x factor

x^{3} - 30 x

2 x + 5 \geq 19

1-(2u-3)/4 =(2-5u)/3-3u

1 - \frac{2 u - 3}{4} = \frac{2 - 5 u}{3} - 3 u

Frequently Asked Questions (FAQ)

What is 0<6x-x^2-5 ?
The solution to 0<6x-x^2-5 is 1<x<5