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x^2+4*x+4=0

x^2+4*x+4=0 equation

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Numerical solution:

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The solution

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x  + 4*x + 4 = 0
(x2+4x)+4=0\left(x^{2} + 4 x\right) + 4 = 0
Simplify
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:
x1=D−b2ax_{1} = \frac{\sqrt{D} - b}{2 a}
x2=−D−b2ax_{2} = \frac{- \sqrt{D} - b}{2 a}
where D = b^2 - 4*a*c - it is the discriminant.
Because
a=1a = 1
b=4b = 4
c=4c = 4
, then
D = b^2 - 4 * a * c = 

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

Because D = 0, then the equation has one root.
x = -b/2a = -4/2/(1)

x1=−2x_{1} = -2
Vieta's Theorem
it is reduced quadratic equation
px+q+x2=0p x + q + x^{2} = 0
where
p=bap = \frac{b}{a}
p=4p = 4
q=caq = \frac{c}{a}
q=4q = 4
Vieta Formulas
x1+x2=−px_{1} + x_{2} = - p
x1x2=qx_{1} x_{2} = q
x1+x2=−4x_{1} + x_{2} = -4
x1x2=4x_{1} x_{2} = 4
The graph
-17.5-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.510.00200
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = -2
x1=−2x_{1} = -2 
x1 = -2
Sum and product of roots [src] 
sum
-2
−2-2 
=
-2
−2-2 
product
-2
−2-2 
=
-2
−2-2 
-2
Numerical answer [src] 
x1 = -2.0
x1 = -2.0
The graph
x^2+4*x+4=0 equation
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