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Popular >

x^2-2x-1>0

Solution

x^{2} - 2 x - 1 > 0

Solution

x < - 2 + 1 or x > 2 + 1

+2

Interval Notation

(- \infty, - 2 + 1) \cup (2 + 1, \infty)

Decimal Notation

x < - 0.41421 \dots or x > 2.41421 \dots

Solution steps

x^{2} - 2 x - 1 > 0

Complete the square

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

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

Move

2

to the right side

(x - 1)^{2} > 2

For

u^{n} > a

, if

n

is even then

x - 1 < - 2 or x - 1 > 2

x - 1 < - 2 : x < - 2 + 1

x - 1 > 2 : x > 2 + 1

Combine the intervals

x < - 2 + 1 or x > 2 + 1

Popular Examples

((4m-3))/7+((2m+5))/2 =3

\frac{( 4 m - 3 )}{7} + \frac{( 2 m + 5 )}{2} = 3

simplify 1/2 (7)simplify

\frac{1}{2} (7)

p - 3 = 3 p - 11

simplify 6-10 simplify

6 - 10

simplify (2!)/(1!*1!)simplify

\frac{2 !}{1 ! \cdot 1 !}

Frequently Asked Questions (FAQ)

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