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Popular >

(2x+5)^2<(5x+2)^2

Solution

(2 x + 5)^{2} < (5 x + 2)^{2}

Solution

x < - 1 or x > 1

+1

Interval Notation

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

Solution steps

(2 x + 5)^{2} < (5 x + 2)^{2}

Rewrite in standard form

- x^{2} + 1 < 0

Move

1

to the right side

- x^{2} < - 1

Multiply both sides by

- 1

x^{2} > 1

For

u^{n} > a

, if

n

is even then

x < - 1 or x > 1

Popular Examples

2 x - x^{2} - 15 < 0

3 x - 10 x - 2 x^{2} < 0

x^{3} - 7 x + 6 \geq 0

x^3-10x^2-7x+16>0

x^{3} - 10 x^{2} - 7 x + 16 > 0

((3x+1))/(((2x+5)(5x+3)))>0

\frac{( 3 x + 1 )}{( ( 2 x + 5 ) ( 5 x + 3 ) )} > 0

Frequently Asked Questions (FAQ)

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