What are the solutions to the equation 19-8y^6=5y ?

The solutions to the equation 19-8y^6=5y are y\approx 1.09168…,y\approx-1.20951…

Find the zeros of 19-8y^6=5y

The zeros of 19-8y^6=5y are y\approx 1.09168…,y\approx-1.20951…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

19 - 8 y^{6} = 5 y

y \approx 1.09168 \dots, y \approx - 1.20951 \dots

Solution steps

19 - 8 y^{6} = 5 y

Move

5 y

to the left side

19 - 8 y^{6} - 5 y = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- 8 y^{6} - 5 y + 19 = 0

Find one solution for

- 8 y^{6} - 5 y + 19 = 0

using Newton-Raphson:

y \approx 1.09168 \dots

Apply long division:

\frac{- 8 y ^{6} - 5 y + 19}{y - 1.09168 \dots} = - 8 y^{5} - 8.73346 \dots y^{4} - 9.53417 \dots y^{3} - 10.40829 \dots y^{2} - 11.36256 \dots y - 17.40431 \dots

- 8 y^{5} - 8.73346 \dots y^{4} - 9.53417 \dots y^{3} - 10.40829 \dots y^{2} - 11.36256 \dots y - 17.40431 \dots \approx 0

Find one solution for

- 8 y^{5} - 8.73346 \dots y^{4} - 9.53417 \dots y^{3} - 10.40829 \dots y^{2} - 11.36256 \dots y - 17.40431 \dots = 0

using Newton-Raphson:

y \approx - 1.20951 \dots

Apply long division:

\frac{- 8 y ^{5} - 8.73346 \dots y ^{4} - 9.53417 \dots y ^{3} - 10.40829 \dots y ^{2} - 11.36256 \dots y - 17.40431 \dots}{y + 1.20951 \dots} = - 8 y^{4} + 0.94268 \dots y^{3} - 10.67437 \dots y^{2} + 2.50255 \dots y - 14.38945 \dots

- 8 y^{4} + 0.94268 \dots y^{3} - 10.67437 \dots y^{2} + 2.50255 \dots y - 14.38945 \dots \approx 0

Find one solution for

- 8 y^{4} + 0.94268 \dots y^{3} - 10.67437 \dots y^{2} + 2.50255 \dots y - 14.38945 \dots = 0

using Newton-Raphson:

No Solution for

y \in R

The solutions are

y \approx 1.09168 \dots, y \approx - 1.20951 \dots

16 x^{3} - 9^{2} = 9

(x - 5)^{7} = (x - 5)^{9}

y, x = 4 - (y + 3)^{5}

2 - 6 x + 8 x^{2} - 2 x^{3} = 4 x - 2

u^{3} = - 18

What are the solutions to the equation 19-8y^6=5y ?
The solutions to the equation 19-8y^6=5y are y\approx 1.09168…,y\approx-1.20951…
Find the zeros of 19-8y^6=5y
The zeros of 19-8y^6=5y are y\approx 1.09168…,y\approx-1.20951…