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Popular >

(x+3)^2-4<0

Solution

(x + 3)^{2} - 4 < 0

Solution

- 5 < x < - 1

+1

Interval Notation

(- 5, - 1)

Solution steps

(x + 3)^{2} - 4 < 0

Move

4

to the right side

(x + 3)^{2} < 4

For

u^{n} < a

, if

n

is even then

- 4 < x + 3 < 4

If

a < u < b

then

a < u and u < b

- 4 < x + 3 and x + 3 < 4

- 4 < x + 3 : x > - 5

x + 3 < 4 : x < - 1

Combine the intervals

x > - 5 and x < - 1

Merge Overlapping Intervals

- 5 < x < - 1

Popular Examples

3 x = 0

x^{2} + 4 x = 14

factor 64p^3-8q^3 factor

64 p^{3} - 8 q^{3}

2 - 3 b = 7 b + 12

factor 3(x+1)^2(2x+1)^4+8(2x+1)^3(x+1)^3 factor

3 (x + 1)^{2} (2 x + 1)^{4} + 8 (2 x + 1)^{3} (x + 1)^{3}

Frequently Asked Questions (FAQ)

What is (x+3)^2-4<0 ?
The solution to (x+3)^2-4<0 is -5<x<-1