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Popular >

3x^2+x>=-3

Solution

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

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

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

Rewrite in standard form

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

Complete the square

3 x^{2} + x + 3 : 3 (x + \frac{1}{6})^{2} + \frac{35}{12}

3 (x + \frac{1}{6})^{2} + \frac{35}{12} \geq 0

Move

\frac{35}{12}

to the right side

3 (x + \frac{1}{6})^{2} \geq - \frac{35}{12}

Divide both sides by

3

(x + \frac{1}{6})^{2} \geq - \frac{35}{36}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

simplify 1/7+1/9 simplify

\frac{1}{7} + \frac{1}{9}

9 x - 24 + 7 x + 6 = 270

simplify ln(\sqrt[7]{e})simplify

(2x-1)/5-(3x+1)/3 >(x-5)/(10)

\frac{2 x - 1}{5} - \frac{3 x + 1}{3} > \frac{x - 5}{10}

\frac{n}{8} + 6 = 58

Frequently Asked Questions (FAQ)

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