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Popular >

x^2-12x+5<0

Solution

x^{2} - 12 x + 5 < 0

Solution

- 31 + 6 < x < 31 + 6

+2

Interval Notation

(- 31 + 6, 31 + 6)

Decimal

0.43223 \dots < x < 11.56776 \dots

Solution steps

x^{2} - 12 x + 5 < 0

Complete the square

x^{2} - 12 x + 5 : (x - 6)^{2} - 31

(x - 6)^{2} - 31 < 0

Move

31

to the right side

(x - 6)^{2} < 31

For

u^{n} < a

, if

n

is even then

- n a < u < n a

- 31 < x - 6 < 31

If

a < u < b

then

a < u and u < b

- 31 < x - 6 and x - 6 < 31

- 31 < x - 6 : x > - 31 + 6

x - 6 < 31 : x < 31 + 6

Combine the intervals

x > - 31 + 6 and x < 31 + 6

Merge Overlapping Intervals

- 31 + 6 < x < 31 + 6

Graph

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-3+4(-x+1)=2-5(2x-3)

- 3 + 4 (- x + 1) = 2 - 5 (2 x - 3)

Frequently Asked Questions (FAQ)

What is x^2-12x+5<0 ?
The solution to x^2-12x+5<0 is -sqrt(31)+6<x<sqrt(31)+6