en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2+6x+4>= 0

Solution

x^{2} + 6 x + 4 \geq 0

Solution

x \leq - 5 - 3 or x \geq 5 - 3

+2

Interval Notation

(- \infty, - 5 - 3] \cup [5 - 3, \infty)

Decimal Notation

x \leq - 5.23606 \dots or x \geq - 0.76393 \dots

Solution steps

x^{2} + 6 x + 4 \geq 0

Complete the square

x^{2} + 6 x + 4 : (x + 3)^{2} - 5

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

Move

5

to the right side

(x + 3)^{2} \geq 5

For

u^{n} \geq a

, if

n

is even then

x + 3 \leq - 5 or x + 3 \geq 5

x + 3 \leq - 5 : x \leq - 5 - 3

x + 3 \geq 5 : x \geq 5 - 3

Combine the intervals

x \leq - 5 - 3 or x \geq 5 - 3

Popular Examples

2 n - 5 = 11

4 x^{2} - x + 5 = 0

|(2x^2-6)/(2(x+1))-(4x)/(2x+2)|<4x+1

\frac{2 x ^{2} - 6}{2 ( x + 1 )} - \frac{4 x}{2 x + 2} < 4 x + 1

x (x + 4) = 45

simplify (x^3)^{-3}(-2y^5)^4 simplify

(x^{3})^{- 3} (- 2 y^{5})^{4}

Frequently Asked Questions (FAQ)

What is x^2+6x+4>= 0 ?
The solution to x^2+6x+4>= 0 is x<=-sqrt(5)-3\lor x>= sqrt(5)-3