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Popular >

-x^2+8x-12>0

Solution

- x^{2} + 8 x - 12 > 0

Solution

2 < x < 6

+1

Interval Notation

(2, 6)

Solution steps

- x^{2} + 8 x - 12 > 0

Factor

- x^{2} + 8 x - 12 : - (x - 2) (x - 6)

- (x - 2) (x - 6) > 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 2) (x - 6)) (- 1) < 0 \cdot (- 1)

Simplify

(x - 2) (x - 6) < 0

Identify the intervals

2 < x < 6

Popular Examples

factor n^2-3n-18 factor

n^{2} - 3 n - 18

4 - \frac{10 u}{9} < 12

factor (x-5)^2-2 factor

(x - 5)^{2} - 2

factor c^4-2c^2+c^3-2c factor

c^{4} - 2 c^{2} + c^{3} - 2 c

\frac{x - 2}{x + 3} > 0

Frequently Asked Questions (FAQ)

What is -x^2+8x-12>0 ?
The solution to -x^2+8x-12>0 is 2<x<6