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Popular >

x^2-6x+9<16

Solution

x^{2} - 6 x + 9 < 16

Solution

- 1 < x < 7

+1

Interval Notation

(- 1, 7)

Solution steps

x^{2} - 6 x + 9 < 16

Factor

x^{2} - 6 x + 9 : (x - 3)^{2}

(x - 3)^{2} < 16

For

u^{n} < a

, if

n

is even then

- 16 < x - 3 < 16

If

a < u < b

then

a < u and u < b

- 16 < x - 3 and x - 3 < 16

- 16 < x - 3 : x > - 1

x - 3 < 16 : x < 7

Combine the intervals

x > - 1 and x < 7

Merge Overlapping Intervals

- 1 < x < 7

Popular Examples

\frac{2}{3} x = 6

h^{2} - 2 h - 2 = 0

factor m^2-4 factor

m^{2} - 4

- 5 c > 2

simplify (10^8)/(10^5)simplify

\frac{1 0 ^{8}}{1 0 ^{5}}

Frequently Asked Questions (FAQ)

What is x^2-6x+9<16 ?
The solution to x^2-6x+9<16 is -1<x<7