What are the solutions to the equation 6x^7=8x-13 ?

The solutions to the equation 6x^7=8x-13 are x\approx-1.20915…

Find the zeros of 6x^7=8x-13

The zeros of 6x^7=8x-13 are x\approx-1.20915…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6 x^{7} = 8 x - 13

x \approx - 1.20915 \dots

Solution steps

6 x^{7} = 8 x - 13

Move

13

to the left side

6 x^{7} + 13 = 8 x

Move

8 x

to the left side

6 x^{7} + 13 - 8 x = 0

Write in the standard form

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

6 x^{7} - 8 x + 13 = 0

Find one solution for

6 x^{7} - 8 x + 13 = 0

using Newton-Raphson:

x \approx - 1.20915 \dots

Apply long division:

\frac{6 x ^{7} - 8 x + 13}{x + 1.20915 \dots} = 6 x^{6} - 7.25490 \dots x^{5} + 8.77226 \dots x^{4} - 10.60698 \dots x^{3} + 12.82543 \dots x^{2} - 15.50787 \dots x + 10.75135 \dots

6 x^{6} - 7.25490 \dots x^{5} + 8.77226 \dots x^{4} - 10.60698 \dots x^{3} + 12.82543 \dots x^{2} - 15.50787 \dots x + 10.75135 \dots \approx 0

Find one solution for

6 x^{6} - 7.25490 \dots x^{5} + 8.77226 \dots x^{4} - 10.60698 \dots x^{3} + 12.82543 \dots x^{2} - 15.50787 \dots x + 10.75135 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.20915 \dots

z^{5} + z^{4} + z^{3} + z^{2} + z + 1 = 0

120 x^{3} + 12 x^{2} = 0

x^{4} - 7 x^{2} + 6 x = 0

x^{9} = 1

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

What are the solutions to the equation 6x^7=8x-13 ?
The solutions to the equation 6x^7=8x-13 are x\approx-1.20915…
Find the zeros of 6x^7=8x-13
The zeros of 6x^7=8x-13 are x\approx-1.20915…