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Popular >

(x-2)^2>25

Solution

(x - 2)^{2} > 25

Solution

x < - 3 or x > 7

+1

Interval Notation

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

Solution steps

(x - 2)^{2} > 25

For

u^{n} > a

, if

n

is even then

x - 2 < - 25 or x - 2 > 25

x - 2 < - 25 : x < - 3

x - 2 > 25 : x > 7

Combine the intervals

x < - 3 or x > 7

Popular Examples

simplify sqrt(16+4)simplify

16 + 4

factor (t-1)^2-49 factor

(t - 1)^{2} - 49

5x(x-1)-2(2x^2-7x)=-8

5 x (x - 1) - 2 (2 x^{2} - 7 x) = - 8

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

factor 6x^2-29x+35 factor

6 x^{2} - 29 x + 35

Frequently Asked Questions (FAQ)

What is (x-2)^2>25 ?
The solution to (x-2)^2>25 is x<-3\lor x>7