What are the solutions to the equation 9y^3-16y=0 ?

The solutions to the equation 9y^3-16y=0 are y=0,y=-4/3 ,y= 4/3

Find the zeros of 9y^3-16y=0

The zeros of 9y^3-16y=0 are y=0,y=-4/3 ,y= 4/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9 y^{3} - 16 y = 0

y = 0, y = - \frac{4}{3}, y = \frac{4}{3}

Decimal Notation

y = 0, y = - 1.33333 \dots, y = 1.33333 \dots

Solution steps

9 y^{3} - 16 y = 0

Factor

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

y (3 y + 4) (3 y - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or 3 y + 4 = 0 or 3 y - 4 = 0

Solve

3 y + 4 = 0 : y = - \frac{4}{3}

Solve

3 y - 4 = 0 : y = \frac{4}{3}

The solutions are

y = 0, y = - \frac{4}{3}, y = \frac{4}{3}

x, x^{3} + m x^{2} - x - m = 0

2 x^{3} + 3 x^{2} - 11 x - 6 = 0

8 x^{3} - 16 x^{2} = 0

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

x^{3} + 2 x^{2} - 42 = 0

What are the solutions to the equation 9y^3-16y=0 ?
The solutions to the equation 9y^3-16y=0 are y=0,y=-4/3 ,y= 4/3
Find the zeros of 9y^3-16y=0
The zeros of 9y^3-16y=0 are y=0,y=-4/3 ,y= 4/3