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Popular >

x^2-x+6>0

Solution

x^{2} - x + 6 > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

x^{2} - x + 6 > 0

Complete the square

x^{2} - x + 6 : (x - \frac{1}{2})^{2} + \frac{23}{4}

(x - \frac{1}{2})^{2} + \frac{23}{4} > 0

Move

\frac{23}{4}

to the right side

(x - \frac{1}{2})^{2} > - \frac{23}{4}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

-4<= (3x+11)/7 <3

- 4 \leq \frac{3 x + 11}{7} < 3

(x+4)/3-x/7 =(x+7)/5

\frac{x + 4}{3} - \frac{x}{7} = \frac{x + 7}{5}

factor x(1-b)-y(1-b)factor

x (1 - b) - y (1 - b)

factor x^2-15x+36 factor

x^{2} - 15 x + 36

-1.5(t-2)=-10.5

- 1.5 (t - 2) = - 10.5

Frequently Asked Questions (FAQ)

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