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Popular >

(x-2)(x+2)>= 1

Solution

(x - 2) (x + 2) \geq 1

Solution

x \leq - 5 or x \geq 5

+2

Interval Notation

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

Decimal Notation

x \leq - 2.23606 \dots or x \geq 2.23606 \dots

Solution steps

(x - 2) (x + 2) \geq 1

Expand

(x - 2) (x + 2) : x^{2} - 4

x^{2} - 4 \geq 1

Move

4

to the right side

x^{2} \geq 5

For

u^{n} \geq a

, if

n

is even then

x \leq - 5 or x \geq 5

Popular Examples

- 7 + x = - 18

w - 13.7 = 22.8

1 + 3 d > 10

2(w-1)+8=6(2w-4)

2 (w - 1) + 8 = 6 (2 w - 4)

4 x = 40

Frequently Asked Questions (FAQ)

What is (x-2)(x+2)>= 1 ?
The solution to (x-2)(x+2)>= 1 is x<=-sqrt(5)\lor x>= sqrt(5)