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Popular >

x^2-4x-6>0

Solution

x^{2} - 4 x - 6 > 0

Solution

x < - 10 + 2 or x > 10 + 2

+2

Interval Notation

(- \infty, - 10 + 2) \cup (10 + 2, \infty)

Decimal Notation

x < - 1.16227 \dots or x > 5.16227 \dots

Solution steps

x^{2} - 4 x - 6 > 0

Complete the square

x^{2} - 4 x - 6 : (x - 2)^{2} - 10

(x - 2)^{2} - 10 > 0

Move

10

to the right side

(x - 2)^{2} > 10

For

u^{n} > a

, if

n

is even then

x - 2 < - 10 or x - 2 > 10

x - 2 < - 10 : x < - 10 + 2

x - 2 > 10 : x > 10 + 2

Combine the intervals

x < - 10 + 2 or x > 10 + 2

Popular Examples

factor-4.9t^2+208t+290 factor

- 4.9 t^{2} + 208 t + 290

6 x + 5 = - 13

5 < 3 + w

3 + 3 x = 36

simplify (sqrt(5)-2)(sqrt(5)+3)simplify

(5 - 2) (5 + 3)

Frequently Asked Questions (FAQ)

What is x^2-4x-6>0 ?
The solution to x^2-4x-6>0 is x<-sqrt(10)+2\lor x>sqrt(10)+2