en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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 < - 2.41421 \dots or x > 0.41421 \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

simplify-1/3*3 simplify

- \frac{1}{3} \cdot 3

6 x^{2} + 13 x = 63

0.391666=(4.38324)(x-(-3*pi/(180)))

0.391666 = (4.38324) (x - (- 3 \cdot \frac{π}{180}))

∣ x + 1 ∣ = ∣ x + 2 ∣

(x-1)(x+1)=2(5x-10/12)

(x - 1) (x + 1) = 2 (5 x - \frac{10}{12})

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