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Popular >

x^2-2x-2>0

Solution

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

Solution

x < - 3 + 1 or x > 3 + 1

+2

Interval Notation

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

Decimal Notation

x < - 0.73205 \dots or x > 2.73205 \dots

Solution steps

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

Complete the square

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

(x - 1)^{2} - 3 > 0

Move

3

to the right side

(x - 1)^{2} > 3

For

u^{n} > a

, if

n

is even then

x - 1 < - 3 or x - 1 > 3

x - 1 < - 3 : x < - 3 + 1

x - 1 > 3 : x > 3 + 1

Combine the intervals

x < - 3 + 1 or x > 3 + 1

Popular Examples

(x+1)/(x^2)> 1/4

\frac{x + 1}{x ^{2}} > \frac{1}{4}

(x-2)*(x^2-5x+6)<0

(x - 2) \cdot (x^{2} - 5 x + 6) < 0

(x-2)(x-4)+10>0

(x - 2) (x - 4) + 10 > 0

x^{3} - 3 x + 2 \geq 0

1/(((x-1)(3-x)))<= 1

\frac{1}{( ( x - 1 ) ( 3 - x ) )} \leq 1

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