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Popular >

x^2+6x+9>0

Solution

x^{2} + 6 x + 9 > 0

Solution

x < - 3 or x > - 3

+1

Interval Notation

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

Solution steps

x^{2} + 6 x + 9 > 0

Factor

x^{2} + 6 x + 9 : (x + 3)^{2}

(x + 3)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

x + 3 < 0 or x + 3 > 0

x + 3 < 0 : x < - 3

x + 3 > 0 : x > - 3

Combine the intervals

x < - 3 or x > - 3

Popular Examples

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\frac{16}{7}

8 t^{2} + 5 t - 5 = 0

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(- 32)^{\frac{6}{5}}

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\frac{x ^{\frac{3}{4}}}{x ^{\frac{1}{2}}}

\frac{x + 2}{x + 7} < 2

Frequently Asked Questions (FAQ)

What is x^2+6x+9>0 ?
The solution to x^2+6x+9>0 is x<-3\lor x>-3