What are the solutions to the equation x+x^3=4 ?

The solutions to the equation x+x^3=4 are x\approx 1.37879…

Find the zeros of x+x^3=4

The zeros of x+x^3=4 are x\approx 1.37879…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x + x^{3} = 4

x \approx 1.37879 \dots

Solution steps

x + x^{3} = 4

Move

4

to the left side

x + x^{3} - 4 = 0

Write in the standard form

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

x^{3} + x - 4 = 0

Find one solution for

x^{3} + x - 4 = 0

using Newton-Raphson:

x \approx 1.37879 \dots

Apply long division:

\frac{x ^{3} + x - 4}{x - 1.37879 \dots} = x^{2} + 1.37879 \dots x + 2.90108 \dots

x^{2} + 1.37879 \dots x + 2.90108 \dots \approx 0

Find one solution for

x^{2} + 1.37879 \dots x + 2.90108 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.37879 \dots

x^{3} + 125 = 0

x^{4} + 13 x^{2} + 40 = 0

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

- x^{3} + 6 x^{2} + 15 x + 8

a^{3} + 5 a + 6 = 0

What are the solutions to the equation x+x^3=4 ?
The solutions to the equation x+x^3=4 are x\approx 1.37879…
Find the zeros of x+x^3=4
The zeros of x+x^3=4 are x\approx 1.37879…