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Popular >

-x^2-4x-5<=-2

Solution

- x^{2} - 4 x - 5 \leq - 2

Solution

x \leq - 3 or x \geq - 1

+1

Interval Notation

(- \infty, - 3] \cup [- 1, \infty)

Solution steps

- x^{2} - 4 x - 5 \leq - 2

Rewrite in standard form

- x^{2} - 4 x - 3 \leq 0

Factor

- x^{2} - 4 x - 3 : - (x + 1) (x + 3)

- (x + 1) (x + 3) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 1) (x + 3)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x + 1) (x + 3) \geq 0

Identify the intervals

x \leq - 3 or x \geq - 1

Popular Examples

x^{2} = x + 3

((y-3)^2)/5 =13-y

\frac{( y - 3 ) ^{2}}{5} = 13 - y

factor y^2+16y+64 factor

y^{2} + 16 y + 64

x^2+(x+1)^2=5^2

x^{2} + (x + 1)^{2} = 5^{2}

simplify (9sqrt(3))/(sqrt(3))simplify

\frac{9 3}{3}

Frequently Asked Questions (FAQ)

What is -x^2-4x-5<=-2 ?
The solution to -x^2-4x-5<=-2 is x<=-3\lor x>=-1