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Popular >

2x^2-6x+10>0

Solution

2 x^{2} - 6 x + 10 > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

2 x^{2} - 6 x + 10 > 0

Rewrite in standard form

x^{2} - 3 x + 5 > 0

Complete the square

x^{2} - 3 x + 5 : (x - \frac{3}{2})^{2} + \frac{11}{4}

(x - \frac{3}{2})^{2} + \frac{11}{4} > 0

Move

\frac{11}{4}

to the right side

(x - \frac{3}{2})^{2} > - \frac{11}{4}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

2 x^{2} - 3 x + 1 > 0

x^{4} + 2 > 0

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

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

((8x^2+16x-51))/(((2x-3)(x+4)))<3

\frac{( 8 x ^{2} + 16 x - 51 )}{( ( 2 x - 3 ) ( x + 4 ) )} < 3

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

\frac{1}{( x + 1 )} \geq \frac{2}{( x + 2 )}

Frequently Asked Questions (FAQ)

What is 2x^2-6x+10>0 ?
The solution to 2x^2-6x+10>0 is True for all x