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Popular >

(x-1)^2-4<0

Solution

(x - 1)^{2} - 4 < 0

Solution

- 1 < x < 3

+1

Interval Notation

(- 1, 3)

Solution steps

(x - 1)^{2} - 4 < 0

Move

4

to the right side

(x - 1)^{2} < 4

For

u^{n} < a

, if

n

is even then

- 4 < x - 1 < 4

If

a < u < b

then

a < u and u < b

- 4 < x - 1 and x - 1 < 4

- 4 < x - 1 : x > - 1

x - 1 < 4 : x < 3

Combine the intervals

x > - 1 and x < 3

Merge Overlapping Intervals

- 1 < x < 3

Popular Examples

simplify ((79+7i))/((6-7i))simplify

\frac{( 79 + 7 i )}{( 6 - 7 i )}

x^{2} - 2 > 0

simplify-6/(-1)-2 simplify

- \frac{6}{- 1} - 2

factor 16x^2-24x+9 factor

16 x^{2} - 24 x + 9

factor 8x^2+24x+18 factor

8 x^{2} + 24 x + 18

Frequently Asked Questions (FAQ)

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