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Popular >

3x^2+2x+4>0

Solution

3 x^{2} + 2 x + 4 > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

3 x^{2} + 2 x + 4 > 0

Complete the square

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

3 (x + \frac{1}{3})^{2} + \frac{11}{3} > 0

Move

\frac{11}{3}

to the right side

3 (x + \frac{1}{3})^{2} > - \frac{11}{3}

Divide both sides by

3

(x + \frac{1}{3})^{2} > - \frac{11}{9}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

3/(x-3)>= 2/(x+2)

\frac{3}{x - 3} \geq \frac{2}{x + 2}

simplify 9-8 simplify

9 - 8

6|x-2|-15=-9|x-2|+15

6 ∣ x - 2 ∣ - 15 = - 9 ∣ x - 2 ∣ + 15

simplify (11!)/(1!4!4!2!)simplify

\frac{11 !}{1 ! 4 ! 4 ! 2 !}

8(-6n+18)-29=-88n+75

8 (- 6 n + 18) - 29 = - 88 n + 75

Frequently Asked Questions (FAQ)

What is 3x^2+2x+4>0 ?
The solution to 3x^2+2x+4>0 is True for all x