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Popular >

x^2>2-6x

Solution

x^{2} > 2 - 6 x

Solution

x < - 11 - 3 or x > 11 - 3

+2

Solution steps

x^{2} > 2 - 6 x

Rewrite in standard form

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

Complete the square

x^{2} + 6 x - 2 : (x + 3)^{2} - 11

(x + 3)^{2} - 11 > 0

Move

11

to the right side

(x + 3)^{2} > 11

For

u^{n} > a

, if

n

is even then

x + 3 < - 11 or x + 3 > 11

x + 3 < - 11 : x < - 11 - 3

x + 3 > 11 : x > 11 - 3

Combine the intervals

x < - 11 - 3 or x > 11 - 3

Popular Examples

simplify 7!simplify

7!

\frac{1}{x} > 2

112 = - 16 t^{2} + 96 t

- x^{2} + 2 x - 3 = 0

7 x + 9 \leq - 33

Frequently Asked Questions (FAQ)

What is x^2>2-6x ?
The solution to x^2>2-6x is x<-sqrt(11)-3\lor x>sqrt(11)-3