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Popular >

x^2+4x+6>0

Solution

x^{2} + 4 x + 6 > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

x^{2} + 4 x + 6 > 0

Complete the square

x^{2} + 4 x + 6 : (x + 2)^{2} + 2

(x + 2)^{2} + 2 > 0

Move

2

to the right side

(x + 2)^{2} > - 2

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

(((x-1)(3-x)))/((x^2-5x))>0

\frac{( ( x - 1 ) ( 3 - x ) )}{( x ^{2} - 5 x )} > 0

2 x^{2} - 3 x + 5 < 0

((x-2)^2*(x^2-3))/(((x+1)^3))<0

\frac{( x - 2 ) ^{2} \cdot ( x ^{2} - 3 )}{( ( x + 1 ) ^{3} )} < 0

((x+4))/((x-2))< 2/((x+1))

\frac{( x + 4 )}{( x - 2 )} < \frac{2}{( x + 1 )}

(x - 2)^{3} > 0

Frequently Asked Questions (FAQ)

What is x^2+4x+6>0 ?
The solution to x^2+4x+6>0 is True for all x