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Popular >

(x+2)^2>5

Solution

(x + 2)^{2} > 5

Solution

x < - 5 - 2 or x > 5 - 2

+2

Interval Notation

(- \infty, - 5 - 2) \cup (5 - 2, \infty)

Decimal Notation

x < - 4.23606 \dots or x > 0.23606 \dots

Solution steps

(x + 2)^{2} > 5

For

u^{n} > a

, if

n

is even then

x + 2 < - 5 or x + 2 > 5

x + 2 < - 5 : x < - 5 - 2

x + 2 > 5 : x > 5 - 2

Combine the intervals

x < - 5 - 2 or x > 5 - 2

Popular Examples

simplify log_{1/5}(25)simplify

lo g_{\frac{1}{5}} (25)

(x-5)/(-2)=(x-1)/(-3)

\frac{x - 5}{- 2} = \frac{x - 1}{- 3}

8 (x + 5) = 56

simplify (b^2)^{3/7}simplify

(b^{2})^{\frac{3}{7}}

simplify x^3-2x+3y-2x^2+x-5 simplify

x^{3} - 2 x + 3 y - 2 x^{2} + x - 5

Frequently Asked Questions (FAQ)

What is (x+2)^2>5 ?
The solution to (x+2)^2>5 is x<-sqrt(5)-2\lor x>sqrt(5)-2