What are the solutions to the equation 2=x^5+x^3+x ?

The solutions to the equation 2=x^5+x^3+x are x\approx 0.86558…

Find the zeros of 2=x^5+x^3+x

The zeros of 2=x^5+x^3+x are x\approx 0.86558…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 = x^{5} + x^{3} + x

x \approx 0.86558 \dots

Solution steps

2 = x^{5} + x^{3} + x

Switch sides

x^{5} + x^{3} + x = 2

Move

2

to the left side

x^{5} + x^{3} + x - 2 = 0

Find one solution for

x^{5} + x^{3} + x - 2 = 0

using Newton-Raphson:

x \approx 0.86558 \dots

Apply long division:

\frac{x ^{5} + x ^{3} + x - 2}{x - 0.86558 \dots} = x^{4} + 0.86558 \dots x^{3} + 1.74923 \dots x^{2} + 1.51410 \dots x + 2.31058 \dots

x^{4} + 0.86558 \dots x^{3} + 1.74923 \dots x^{2} + 1.51410 \dots x + 2.31058 \dots \approx 0

Find one solution for

x^{4} + 0.86558 \dots x^{3} + 1.74923 \dots x^{2} + 1.51410 \dots x + 2.31058 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.86558 \dots

3 x^{3} - 7 x^{2} + 75 x - 175 = 0

x^{3} - 4 x^{2} + 9 x - 36 = 0

x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16 = 0

x^{4} - 4 x^{3} + x^{2} - 5 x = 3

x^{7} - 6 x^{5} - x^{2} + x - 7 = 0

What are the solutions to the equation 2=x^5+x^3+x ?
The solutions to the equation 2=x^5+x^3+x are x\approx 0.86558…
Find the zeros of 2=x^5+x^3+x
The zeros of 2=x^5+x^3+x are x\approx 0.86558…