What are the solutions to the equation 0=x^3+x-1 ?

The solutions to the equation 0=x^3+x-1 are x\approx 0.68232…

Find the zeros of 0=x^3+x-1

The zeros of 0=x^3+x-1 are x\approx 0.68232…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0 = x^{3} + x - 1

x \approx 0.68232 \dots

Solution steps

0 = x^{3} + x - 1

Switch sides

x^{3} + x - 1 = 0

Find one solution for

x^{3} + x - 1 = 0

using Newton-Raphson:

x \approx 0.68232 \dots

Apply long division:

\frac{x ^{3} + x - 1}{x - 0.68232 \dots} = x^{2} + 0.68232 \dots x + 1.46557 \dots

x^{2} + 0.68232 \dots x + 1.46557 \dots \approx 0

Find one solution for

x^{2} + 0.68232 \dots x + 1.46557 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.68232 \dots

x = 2.2 x^{4} - 3 x^{3} + x^{2} - 3

(x + 1)^{3} = - 125

3 x^{3} - 20 x^{2} + 12 x = 0

x^{3} - 5 x^{2} + 7 x - 9 = 100

x^{4} - 7 x^{3} + 18 x^{2} - 20 x + 8 = 0

What are the solutions to the equation 0=x^3+x-1 ?
The solutions to the equation 0=x^3+x-1 are x\approx 0.68232…
Find the zeros of 0=x^3+x-1
The zeros of 0=x^3+x-1 are x\approx 0.68232…