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3y^2

3y^2 equation

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Numerical solution:

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The solution

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3*y  = 0
3y2=03 y^{2} = 0
Simplify
Detail solution
This equation is of the form
a*y^2 + b*y + c = 0

A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
y1=D−b2ay_{1} = \frac{\sqrt{D} - b}{2 a}
y2=−D−b2ay_{2} = \frac{- \sqrt{D} - b}{2 a}
where D = b^2 - 4*a*c - it is the discriminant.
Because
a=3a = 3
b=0b = 0
c=0c = 0
, then
D = b^2 - 4 * a * c = 

(0)^2 - 4 * (3) * (0) = 0

Because D = 0, then the equation has one root.
y = -b/2a = -0/2/(3)

y1=0y_{1} = 0
Vieta's Theorem
rewrite the equation
3y2=03 y^{2} = 0
of
ay2+by+c=0a y^{2} + b y + c = 0
as reduced quadratic equation
y2+bya+ca=0y^{2} + \frac{b y}{a} + \frac{c}{a} = 0
y2=0y^{2} = 0
py+y2+q=0p y + y^{2} + q = 0
where
p=bap = \frac{b}{a}
p=0p = 0
q=caq = \frac{c}{a}
q=0q = 0
Vieta Formulas
y1+y2=−py_{1} + y_{2} = - p
y1y2=qy_{1} y_{2} = q
y1+y2=0y_{1} + y_{2} = 0
y1y2=0y_{1} y_{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] 
y1 = 0
y1=0y_{1} = 0
Simplify
Sum and product of roots [src] 
sum
0 + 0
0+00 + 0 
=
0
00 
product
1*0
1⋅01 \cdot 0 
=
0
00 
0
Numerical answer [src] 
y1 = 0.0
y1 = 0.0
The graph
3y^2 equation
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