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Popular >

x^2+x+3>0

Solution

x^{2} + x + 3 > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

x^{2} + x + 3 > 0

Complete the square

x^{2} + x + 3 : (x + \frac{1}{2})^{2} + \frac{11}{4}

(x + \frac{1}{2})^{2} + \frac{11}{4} > 0

Move

\frac{11}{4}

to the right side

(x + \frac{1}{2})^{2} > - \frac{11}{4}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

e^{2} = y

factor 2*2+2sqrt(2)factor

2 \cdot 2 + 22

x^{3} + 7 x^{2} > 0

simplify (x^{3/5})/(x^{3/10)}simplify

\frac{x ^{\frac{3}{5}}}{x ^{\frac{3}{10}}}

simplify (2/5)^{-2}simplify

(\frac{2}{5})^{- 2}

Frequently Asked Questions (FAQ)

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