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Popular >

-x^2+2x-2<0

Solution

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

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

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

Complete the square

- x^{2} + 2 x - 2 : - (x - 1)^{2} - 1

- (x - 1)^{2} - 1 < 0

Move

1

to the right side

- (x - 1)^{2} < 1

Multiply both sides by

- 1

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

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

1/((1+x))+1/((x-1))+2/((x+2))<0

\frac{1}{( 1 + x )} + \frac{1}{( x - 1 )} + \frac{2}{( x + 2 )} < 0

(x-2)^3(x-4)^2(x-10)17>0

(x - 2)^{3} (x - 4)^{2} (x - 10) 17 > 0

x (x + 3) < 0

(3x(x-1))/(5x)>= 0

\frac{3 x ( x - 1 )}{5 x} \geq 0

x^4+6x<= 6x^3+x^2

x^{4} + 6 x \leq 6 x^{3} + x^{2}

Frequently Asked Questions (FAQ)

What is -x^2+2x-2<0 ?
The solution to -x^2+2x-2<0 is True for all x