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Popular >

x^2+3x+7>0

Solution

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

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

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

Complete the square

x^{2} + 3 x + 7 : (x + \frac{3}{2})^{2} + \frac{19}{4}

(x + \frac{3}{2})^{2} + \frac{19}{4} > 0

Move

\frac{19}{4}

to the right side

(x + \frac{3}{2})^{2} > - \frac{19}{4}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

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3 x^{5} y^{5} (- 4 x^{2} + 2 x^{2} y^{2} + 4 y^{5})

simplify (5x^2y^8)/(5x^4y^8)simplify

\frac{5 x ^{2} y ^{8}}{5 x ^{4} y ^{8}}

1^{2} + x^{2} = 2^{2}

x^{2} + 18 x = - 80

x^{2} = 12 x - 20

Frequently Asked Questions (FAQ)

What is x^2+3x+7>0 ?
The solution to x^2+3x+7>0 is True for all x