en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3(x-5)^2-12>= 0

Solution

3 (x - 5)^{2} - 12 \geq 0

Solution

x \leq 3 or x \geq 7

+1

Interval Notation

(- \infty, 3] \cup [7, \infty)

Solution steps

3 (x - 5)^{2} - 12 \geq 0

Move

12

to the right side

3 (x - 5)^{2} \geq 12

Divide both sides by

3

(x - 5)^{2} \geq 4

For

u^{n} \geq a

, if

n

is even then

x - 5 \leq - 4 or x - 5 \geq 4

x - 5 \leq - 4 : x \leq 3

x - 5 \geq 4 : x \geq 7

Combine the intervals

x \leq 3 or x \geq 7

Popular Examples

5/2 a+2-((a-4)/3+a+1/6)=5a-2/3

\frac{5}{2} a + 2 - (\frac{a - 4}{3} + a + \frac{1}{6}) = 5 a - \frac{2}{3}

simplify (x-4)2 simplify

(x - 4) 2

- 10 x = 0

7 x - 9 = 3 x - 29

8n^2-4n+2=5n-11

8 n^{2} - 4 n + 2 = 5 n - 11

Frequently Asked Questions (FAQ)

What is 3(x-5)^2-12>= 0 ?
The solution to 3(x-5)^2-12>= 0 is x<= 3\lor x>= 7