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Popular >

2x^2-x+5>0

Solution

2 x^{2} - x + 5 > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

2 x^{2} - x + 5 > 0

Complete the square

2 x^{2} - x + 5 : 2 (x - \frac{1}{4})^{2} + \frac{39}{8}

2 (x - \frac{1}{4})^{2} + \frac{39}{8} > 0

Move

\frac{39}{8}

to the right side

2 (x - \frac{1}{4})^{2} > - \frac{39}{8}

Divide both sides by

2

(x - \frac{1}{4})^{2} > - \frac{39}{16}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

- x^{3} + 3 x^{2} - 2 x > 0

1/((x+4))<= (-1)/6

\frac{1}{( x + 4 )} \leq \frac{- 1}{6}

(((x-4)(x-3)))/((x-3))<= 0

\frac{( ( x - 4 ) ( x - 3 ) )}{( x - 3 )} \leq 0

((14x))/((x+1))-((9x-30))/((x-4))<0

\frac{( 14 x )}{( x + 1 )} - \frac{( 9 x - 30 )}{( x - 4 )} < 0

1/((3x-2))<= 1/((3x+4))

\frac{1}{( 3 x - 2 )} \leq \frac{1}{( 3 x + 4 )}

Frequently Asked Questions (FAQ)

What is 2x^2-x+5>0 ?
The solution to 2x^2-x+5>0 is True for all x