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Popular >

6x^2-2x+3>0

Solution

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

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

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

Complete the square

6 x^{2} - 2 x + 3 : 6 (x - \frac{1}{6})^{2} + \frac{17}{6}

6 (x - \frac{1}{6})^{2} + \frac{17}{6} > 0

Move

\frac{17}{6}

to the right side

6 (x - \frac{1}{6})^{2} > - \frac{17}{6}

Divide both sides by

6

(x - \frac{1}{6})^{2} > - \frac{17}{36}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

((x^2-1))/((x+3))<= 0

\frac{( x ^{2} - 1 )}{( x + 3 )} \leq 0

\frac{4}{( x + 2 )} \geq 0

x^3+5x^2+4x>= 0

x^{3} + 5 x^{2} + 4 x \geq 0

(2 - x) (x + 3) > 0

solvefor x,2(2x-1)>4x-6u solve for

x, 2 (2 x - 1) > 4 x - 6 u

Frequently Asked Questions (FAQ)

What is 6x^2-2x+3>0 ?
The solution to 6x^2-2x+3>0 is True for all x