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Popular >

x^2-2x>9

Solution

x^{2} - 2 x > 9

Solution

x < - 10 + 1 or x > 10 + 1

+2

Interval Notation

(- \infty, - 10 + 1) \cup (10 + 1, \infty)

Decimal Notation

x < - 2.16227 \dots or x > 4.16227 \dots

Solution steps

x^{2} - 2 x > 9

Rewrite in standard form

x^{2} - 2 x - 9 > 0

Complete the square

x^{2} - 2 x - 9 : (x - 1)^{2} - 10

(x - 1)^{2} - 10 > 0

Move

10

to the right side

(x - 1)^{2} > 10

For

u^{n} > a

, if

n

is even then

x - 1 < - 10 or x - 1 > 10

x - 1 < - 10 : x < - 10 + 1

x - 1 > 10 : x > 10 + 1

Combine the intervals

x < - 10 + 1 or x > 10 + 1

Popular Examples

simplify 3/5-2/7 simplify

\frac{3}{5} - \frac{2}{7}

- 2 x^{2} - 6 x + 5 = 0

2 x + 5 \geq - 1

5 \cdot 1 0^{2}

- 5 (p + 53) = - 4

Frequently Asked Questions (FAQ)

What is x^2-2x>9 ?
The solution to x^2-2x>9 is x<-sqrt(10)+1\lor x>sqrt(10)+1