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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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   2    
3*y  = 0
$$3 y^{2} = 0$$
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:
$$y_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$y_{2} = \frac{- \sqrt{D} - b}{2 a}$$
where D = b^2 - 4*a*c - it is the discriminant.
Because
$$a = 3$$
$$b = 0$$
$$c = 0$$
, 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)

$$y_{1} = 0$$
Vieta's Theorem
rewrite the equation
$$3 y^{2} = 0$$
of
$$a y^{2} + b y + c = 0$$
as reduced quadratic equation
$$y^{2} + \frac{b y}{a} + \frac{c}{a} = 0$$
$$y^{2} = 0$$
$$p y + y^{2} + q = 0$$
where
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = 0$$
Vieta Formulas
$$y_{1} + y_{2} = - p$$
$$y_{1} y_{2} = q$$
$$y_{1} + y_{2} = 0$$
$$y_{1} y_{2} = 0$$
The graph
Rapid solution [src]
y1 = 0
$$y_{1} = 0$$
Sum and product of roots [src]
sum
0 + 0
$$0 + 0$$
=
0
$$0$$
product
1*0
$$1 \cdot 0$$
=
0
$$0$$
0
Numerical answer [src]
y1 = 0.0
y1 = 0.0
The graph
3y^2 equation