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Popular >

x^2+8x+1>=-14

Solution

x^{2} + 8 x + 1 \geq - 14

Solution

x \leq - 5 or x \geq - 3

+1

Interval Notation

(- \infty, - 5] \cup [- 3, \infty)

Solution steps

x^{2} + 8 x + 1 \geq - 14

Rewrite in standard form

x^{2} + 8 x + 15 \geq 0

Factor

x^{2} + 8 x + 15 : (x + 3) (x + 5)

(x + 3) (x + 5) \geq 0

Identify the intervals

x \leq - 5 or x \geq - 3

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Frequently Asked Questions (FAQ)

What is x^2+8x+1>=-14 ?
The solution to x^2+8x+1>=-14 is x<=-5\lor x>=-3