What are the solutions to the equation 1/3 y= 2/3 y^2 ?

The solutions to the equation 1/3 y= 2/3 y^2 are y= 1/2 ,y=0

Find the zeros of 1/3 y= 2/3 y^2

The zeros of 1/3 y= 2/3 y^2 are y= 1/2 ,y=0

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\frac{1}{3} y = \frac{2}{3} y^{2}

y = \frac{1}{2}, y = 0

Decimal Notation

y = 0.5, y = 0

Solution steps

\frac{1}{3} y = \frac{2}{3} y^{2}

Multiply both sides by

3

y = 2 y^{2}

Switch sides

2 y^{2} = y

Move

y

to the left side

2 y^{2} - y = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

(- 1)^{2} - 4 \cdot 2 \cdot 0 = 1

y_{1, 2} = \frac{- ( - 1 ) \pm 1}{2 \cdot 2}

Separate the solutions

y_{1} = \frac{- ( - 1 ) + 1}{2 \cdot 2}, y_{2} = \frac{- ( - 1 ) - 1}{2 \cdot 2}

y = \frac{- ( - 1 ) + 1}{2 \cdot 2} : \frac{1}{2}

y = \frac{- ( - 1 ) - 1}{2 \cdot 2} : 0

The solutions to the quadratic equation are:

y = \frac{1}{2}, y = 0

\frac{27}{3}

∣ 3 x - 4 ∣ > 5

∣ x + 3 ∣ \geq 13

3 q^{2} + 33 q + 90

- 5 x + 2 = 67

What are the solutions to the equation 1/3 y= 2/3 y^2 ?
The solutions to the equation 1/3 y= 2/3 y^2 are y= 1/2 ,y=0
Find the zeros of 1/3 y= 2/3 y^2
The zeros of 1/3 y= 2/3 y^2 are y= 1/2 ,y=0