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x^2+6*x+9=0

x^2+6*x+9=0 equation

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Numerical solution:

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The solution

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x  + 6*x + 9 = 0
$$\left(x^{2} + 6 x\right) + 9 = 0$$
Detail solution
This equation is of the form
a*x^2 + b*x + c = 0

A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
where D = b^2 - 4*a*c - it is the discriminant.
Because
$$a = 1$$
$$b = 6$$
$$c = 9$$
, then
D = b^2 - 4 * a * c = 

(6)^2 - 4 * (1) * (9) = 0

Because D = 0, then the equation has one root.
x = -b/2a = -6/2/(1)

$$x_{1} = -3$$
Vieta's Theorem
it is reduced quadratic equation
$$p x + q + x^{2} = 0$$
where
$$p = \frac{b}{a}$$
$$p = 6$$
$$q = \frac{c}{a}$$
$$q = 9$$
Vieta Formulas
$$x_{1} + x_{2} = - p$$
$$x_{1} x_{2} = q$$
$$x_{1} + x_{2} = -6$$
$$x_{1} x_{2} = 9$$
The graph
Rapid solution [src]
x1 = -3
$$x_{1} = -3$$
x1 = -3
Sum and product of roots [src]
sum
-3
$$-3$$
=
-3
$$-3$$
product
-3
$$-3$$
=
-3
$$-3$$
-3
Numerical answer [src]
x1 = -3.0
x1 = -3.0
The graph
x^2+6*x+9=0 equation