What are the solutions to the equation y^3+2y=9y+18 ?

The solutions to the equation y^3+2y=9y+18 are y\approx 3.48733…

Find the zeros of y^3+2y=9y+18

The zeros of y^3+2y=9y+18 are y\approx 3.48733…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{3} + 2 y = 9 y + 18

y \approx 3.48733 \dots

Solution steps

y^{3} + 2 y = 9 y + 18

Move

18

to the left side

y^{3} + 2 y - 18 = 9 y

Move

9 y

to the left side

y^{3} - 7 y - 18 = 0

Find one solution for

y^{3} - 7 y - 18 = 0

using Newton-Raphson:

y \approx 3.48733 \dots

Apply long division:

\frac{y ^{3} - 7 y - 18}{y - 3.48733 \dots} = y^{2} + 3.48733 \dots y + 5.16152 \dots

y^{2} + 3.48733 \dots y + 5.16152 \dots \approx 0

Find one solution for

y^{2} + 3.48733 \dots y + 5.16152 \dots = 0

using Newton-Raphson:

No Solution for

y \in R

The solution is

y \approx 3.48733 \dots

8 X^{3} + 10 X^{2} - 10 = 0

x^{3} + 5 x + \frac{55}{18} = 0

3 x^{2} (x + 1)^{2} - x (x + 1)^{3} = 0

49 t^{4} + 44 t^{2} - 5 = 0

12 x (x^{2} - 1)^{2} = 0

What are the solutions to the equation y^3+2y=9y+18 ?
The solutions to the equation y^3+2y=9y+18 are y\approx 3.48733…
Find the zeros of y^3+2y=9y+18
The zeros of y^3+2y=9y+18 are y\approx 3.48733…