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Popular >

-x^2-4x-5<0

Solution

- x^{2} - 4 x - 5 < 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

- x^{2} - 4 x - 5 < 0

Complete the square

- x^{2} - 4 x - 5 : - (x + 2)^{2} - 1

- (x + 2)^{2} - 1 < 0

Move

1

to the right side

- (x + 2)^{2} < 1

Multiply both sides by

- 1

(x + 2)^{2} > - 1

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

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x^{3} - x > 2 x^{2} - 2

9 x^{2} - 4 < 0

m (25 m - 4) \geq 0

Frequently Asked Questions (FAQ)

What is -x^2-4x-5<0 ?
The solution to -x^2-4x-5<0 is True for all x