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Popular >

|x^2+x-16|>14

Solution

x^{2} + x - 16 > 14

Solution

x < - 6 or - 2 < x < 1 or x > 5

+1

Interval Notation

(- \infty, - 6) \cup (- 2, 1) \cup (5, \infty)

Solution steps

x^{2} + x - 16 > 14

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x^{2} + x - 16 < - 14 or x^{2} + x - 16 > 14

x^{2} + x - 16 < - 14 or x^{2} + x - 16 > 14

- 2 < x < 1 or (x < - 6 or x > 5)

Merge Overlapping Intervals

x < - 6 or - 2 < x < 1 or x > 5

Popular Examples

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

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

12 x^{2} + 82 x = 14

simplify (sqrt(18))/(sqrt(6))simplify

\frac{18}{6}

4 x^{2} - 56 x + 268 = 0

65 = \frac{3}{4} x - 7

Frequently Asked Questions (FAQ)

What is |x^2+x-16|>14 ?
The solution to |x^2+x-16|>14 is x<-6\lor-2<x<1\lor x>5