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Popular >

x^2-2x-2>= 0

Solution

x^{2} - 2 x - 2 \geq 0

Solution

x \leq - 3 + 1 or x \geq 3 + 1

+2

Interval Notation

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

Decimal Notation

x \leq - 0.73205 \dots or x \geq 2.73205 \dots

Solution steps

x^{2} - 2 x - 2 \geq 0

Complete the square

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

(x - 1)^{2} - 3 \geq 0

Move

3

to the right side

(x - 1)^{2} \geq 3

For

u^{n} \geq a

, if

n

is even then

x - 1 \leq - 3 or x - 1 \geq 3

x - 1 \leq - 3 : x \leq - 3 + 1

x - 1 \geq 3 : x \geq 3 + 1

Combine the intervals

x \leq - 3 + 1 or x \geq 3 + 1

Popular Examples

x + 1 < 2 x - 5

2 w + 4 = 2 (w + 3) - 2

3 x^{2} + 2 x = 8

simplify ln(0.1)simplify

ln (0.1)

\frac{x}{- 5} + 12 < 11

Frequently Asked Questions (FAQ)

What is x^2-2x-2>= 0 ?
The solution to x^2-2x-2>= 0 is x<=-sqrt(3)+1\lor x>= sqrt(3)+1