What are the solutions to the equation 18y^3=50y ?

The solutions to the equation 18y^3=50y are y=0,y=-5/3 ,y= 5/3

Find the zeros of 18y^3=50y

The zeros of 18y^3=50y are y=0,y=-5/3 ,y= 5/3

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18 y^{3} = 50 y

y = 0, y = - \frac{5}{3}, y = \frac{5}{3}

Decimal Notation

y = 0, y = - 1.66666 \dots, y = 1.66666 \dots

Solution steps

18 y^{3} = 50 y

Move

50 y

to the left side

18 y^{3} - 50 y = 0

Factor

18 y^{3} - 50 y : 2 y (3 y + 5) (3 y - 5)

2 y (3 y + 5) (3 y - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or 3 y + 5 = 0 or 3 y - 5 = 0

Solve

3 y + 5 = 0 : y = - \frac{5}{3}

Solve

3 y - 5 = 0 : y = \frac{5}{3}

The solutions are

y = 0, y = - \frac{5}{3}, y = \frac{5}{3}

x^{4} - x - 12 = 0

3 (x^{2} + 3 x - 10) (x - 8) = 0

x^{4} - 28 x^{2} + 75 = 0

x^{4} - 7 x^{3} + 12 x^{2} = 0

(x^{2} - x)^{2} - 3 (x^{2} - x) + 2 = 0

What are the solutions to the equation 18y^3=50y ?
The solutions to the equation 18y^3=50y are y=0,y=-5/3 ,y= 5/3
Find the zeros of 18y^3=50y
The zeros of 18y^3=50y are y=0,y=-5/3 ,y= 5/3