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Popular >

x^2-2x-4>0

Solution

x^{2} - 2 x - 4 > 0

Solution

x < - 5 + 1 or x > 5 + 1

+2

Solution steps

x^{2} - 2 x - 4 > 0

Complete the square

x^{2} - 2 x - 4 : (x - 1)^{2} - 5

(x - 1)^{2} - 5 > 0

Move

5

to the right side

(x - 1)^{2} > 5

For

u^{n} > a

, if

n

is even then

x - 1 < - 5 or x - 1 > 5

x - 1 < - 5 : x < - 5 + 1

x - 1 > 5 : x > 5 + 1

Combine the intervals

x < - 5 + 1 or x > 5 + 1

Popular Examples

- 11 < - 2 x - 1 < 1

3x^2(x^2-81)<= 0

3 x^{2} (x^{2} - 81) \leq 0

x/4+x/(10)+x/8 =19

\frac{x}{4} + \frac{x}{10} + \frac{x}{8} = 19

simplify 17.1*27-17.1*33+17.1*16 simplify

17.1 \cdot 27 - 17.1 \cdot 33 + 17.1 \cdot 16

simplify (sqrt(15))/(sqrt(5))simplify

\frac{15}{5}

Frequently Asked Questions (FAQ)

What is x^2-2x-4>0 ?
The solution to x^2-2x-4>0 is x<-sqrt(5)+1\lor x>sqrt(5)+1