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Popular >

x^2>-6x+8

Solution

x^{2} > - 6 x + 8

Solution

x < - 17 - 3 or x > 17 - 3

+2

Interval Notation

(- \infty, - 17 - 3) \cup (17 - 3, \infty)

Decimal Notation

x < - 7.12310 \dots or x > 1.12310 \dots

Solution steps

x^{2} > - 6 x + 8

Rewrite in standard form

x^{2} - 8 + 6 x > 0

Complete the square

x^{2} - 8 + 6 x : (x + 3)^{2} - 17

(x + 3)^{2} - 17 > 0

Move

17

to the right side

(x + 3)^{2} > 17

For

u^{n} > a

, if

n

is even then

x + 3 < - 17 or x + 3 > 17

x + 3 < - 17 : x < - 17 - 3

x + 3 > 17 : x > 17 - 3

Combine the intervals

x < - 17 - 3 or x > 17 - 3

Popular Examples

2 x - 15 > 5 x

simplify 32.6-6.4+3.56 simplify

32.6 - 6.4 + 3.56

factor x^3+6x^2+9x+4 factor

x^{3} + 6 x^{2} + 9 x + 4

x^{2} - 2 x - 48 > 0

factor k^2+k-56 factor

k^{2} + k - 56

Frequently Asked Questions (FAQ)

What is x^2>-6x+8 ?
The solution to x^2>-6x+8 is x<-sqrt(17)-3\lor x>sqrt(17)-3