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4*x^2=0

4*x^2=0 equation

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Numerical solution:

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The solution

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4*x  = 0
4x2=04 x^{2} = 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=4a = 4
b=0b = 0
c=0c = 0
, then
D = b^2 - 4 * a * c = 

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

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

x1=0x_{1} = 0
Vieta's Theorem
rewrite the equation
4x2=04 x^{2} = 0
of
ax2+bx+c=0a x^{2} + b x + c = 0
as reduced quadratic equation
x2+bxa+ca=0x^{2} + \frac{b x}{a} + \frac{c}{a} = 0
x2=0x^{2} = 0
px+q+x2=0p x + q + x^{2} = 0
where
p=bap = \frac{b}{a}
p=0p = 0
q=caq = \frac{c}{a}
q=0q = 0
Vieta Formulas
x1+x2=−px_{1} + x_{2} = - p
x1x2=qx_{1} x_{2} = q
x1+x2=0x_{1} + x_{2} = 0
x1x2=0x_{1} x_{2} = 0
The graph
-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.515.010.012.50500
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = 0
x1=0x_{1} = 0 
x1 = 0
Sum and product of roots [src] 
sum
0
00 
=
0
00 
product
0
00 
=
0
00 
0
Numerical answer [src] 
x1 = 0.0
x1 = 0.0
The graph
4*x^2=0 equation
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