What are the solutions to the equation 49y^3-16y=0 ?

The solutions to the equation 49y^3-16y=0 are y=0,y=-4/7 ,y= 4/7

Find the zeros of 49y^3-16y=0

The zeros of 49y^3-16y=0 are y=0,y=-4/7 ,y= 4/7

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49 y^{3} - 16 y = 0

y = 0, y = - \frac{4}{7}, y = \frac{4}{7}

Decimal Notation

y = 0, y = - 0.57142 \dots, y = 0.57142 \dots

Solution steps

49 y^{3} - 16 y = 0

Factor

49 y^{3} - 16 y : y (7 y + 4) (7 y - 4)

y (7 y + 4) (7 y - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or 7 y + 4 = 0 or 7 y - 4 = 0

Solve

7 y + 4 = 0 : y = - \frac{4}{7}

Solve

7 y - 4 = 0 : y = \frac{4}{7}

The solutions are

y = 0, y = - \frac{4}{7}, y = \frac{4}{7}

- 3 x^{3} - 8 x^{2} + 3 = 0

(x^{3} - 9) = 0

20 x^{3} - 60 x^{2} = 0

x^{4} - 6 x^{3} + 10 x^{2} - 6 x + 1 = 0

0 = 4 x^{3} - 48 x^{2} + 84 x - 39.6

What are the solutions to the equation 49y^3-16y=0 ?
The solutions to the equation 49y^3-16y=0 are y=0,y=-4/7 ,y= 4/7
Find the zeros of 49y^3-16y=0
The zeros of 49y^3-16y=0 are y=0,y=-4/7 ,y= 4/7