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Popular >

(x-2)^2-9<0

Solution

(x - 2)^{2} - 9 < 0

Solution

- 1 < x < 5

+1

Interval Notation

(- 1, 5)

Solution steps

(x - 2)^{2} - 9 < 0

Move

9

to the right side

(x - 2)^{2} < 9

For

u^{n} < a

, if

n

is even then

- 9 < x - 2 < 9

If

a < u < b

then

a < u and u < b

- 9 < x - 2 and x - 2 < 9

- 9 < x - 2 : x > - 1

x - 2 < 9 : x < 5

Combine the intervals

x > - 1 and x < 5

Merge Overlapping Intervals

- 1 < x < 5

Popular Examples

factor-6c^2+12c factor

- 6 c^{2} + 12 c

3 x^{2} + 4 x - 15 = 0

3(x-3)(x+3)=2(x-1)

3 (x - 3) (x + 3) = 2 (x - 1)

6 (2 - x) = 2 x + 4

factor-2q^4+2q^3+q^2-1 factor

- 2 q^{4} + 2 q^{3} + q^{2} - 1

Frequently Asked Questions (FAQ)

What is (x-2)^2-9<0 ?
The solution to (x-2)^2-9<0 is -1<x<5