What are the solutions to the equation 5(x-1)=5(x^5+2) ?

The solutions to the equation 5(x-1)=5(x^5+2) are x\approx-1.34129…

Find the zeros of 5(x-1)=5(x^5+2)

The zeros of 5(x-1)=5(x^5+2) are x\approx-1.34129…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 (x - 1) = 5 (x^{5} + 2)

x \approx - 1.34129 \dots

Solution steps

5 (x - 1) = 5 (x^{5} + 2)

Expand

5 (x - 1) : 5 x - 5

Expand

5 (x^{5} + 2) : 5 x^{5} + 10

5 x - 5 = 5 x^{5} + 10

Switch sides

5 x^{5} + 10 = 5 x - 5

Move

5

to the left side

5 x^{5} + 15 = 5 x

Move

5 x

to the left side

5 x^{5} + 15 - 5 x = 0

Write in the standard form

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

5 x^{5} - 5 x + 15 = 0

Find one solution for

5 x^{5} - 5 x + 15 = 0

using Newton-Raphson:

x \approx - 1.34129 \dots

Apply long division:

\frac{5 x ^{5} - 5 x + 15}{x + 1.34129 \dots} = 5 x^{4} - 6.70646 \dots x^{3} + 8.99534 \dots x^{2} - 12.06539 \dots x + 11.18323 \dots

5 x^{4} - 6.70646 \dots x^{3} + 8.99534 \dots x^{2} - 12.06539 \dots x + 11.18323 \dots \approx 0

Find one solution for

5 x^{4} - 6.70646 \dots x^{3} + 8.99534 \dots x^{2} - 12.06539 \dots x + 11.18323 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.34129 \dots

x^{3} + 13 x^{2} + 57 x + 85 = 0

w^{6} = - 27

0 = x (x - 4)^{3}

4 x^{3} = 108

- x (x + 9) (x^{2} - 9) = 0

What are the solutions to the equation 5(x-1)=5(x^5+2) ?
The solutions to the equation 5(x-1)=5(x^5+2) are x\approx-1.34129…
Find the zeros of 5(x-1)=5(x^5+2)
The zeros of 5(x-1)=5(x^5+2) are x\approx-1.34129…