What are the solutions to the equation solvefor y,y=(y^3)/3 ?

The solutions to the equation solvefor y,y=(y^3)/3 are y=0,y=-sqrt(3),y=sqrt(3)

Find the zeros of solvefor y,y=(y^3)/3

The zeros of solvefor y,y=(y^3)/3 are y=0,y=-sqrt(3),y=sqrt(3)

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Popular >

solve for

y, y = \frac{y ^{3}}{3}

y = 0, y = - 3, y = 3

Decimal Notation

y = 0, y = - 1.73205 \dots, y = 1.73205 \dots

Solution steps

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

Switch sides

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

Move

y

to the left side

\frac{y ^{3}}{3} - y = 0

Factor

\frac{y ^{3}}{3} - y : y (\frac{1}{3} y + 1) (\frac{1}{3} y - 1)

y (\frac{1}{3} y + 1) (\frac{1}{3} y - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or \frac{1}{3} y + 1 = 0 or \frac{1}{3} y - 1 = 0

Solve

\frac{1}{3} y + 1 = 0 : y = - 3

Solve

\frac{1}{3} y - 1 = 0 : y = 3

The solutions are

y = 0, y = - 3, y = 3

x^{4} - 7 x + 12 = 0

18 x^{2} - 2.75 x^{3} = 3 (4 + 7 x)

x^{3} + 3 + 2 = 0

2 = a^{3}

x^{10} = - 11

What are the solutions to the equation solvefor y,y=(y^3)/3 ?
The solutions to the equation solvefor y,y=(y^3)/3 are y=0,y=-sqrt(3),y=sqrt(3)
Find the zeros of solvefor y,y=(y^3)/3
The zeros of solvefor y,y=(y^3)/3 are y=0,y=-sqrt(3),y=sqrt(3)