What are the solutions to the equation x^4-3x-18=0 ?

The solutions to the equation x^4-3x-18=0 are x\approx-1.87552…,x\approx 2.22903…

Find the zeros of x^4-3x-18=0

The zeros of x^4-3x-18=0 are x\approx-1.87552…,x\approx 2.22903…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{4} - 3 x - 18 = 0

x \approx - 1.87552 \dots, x \approx 2.22903 \dots

Solution steps

x^{4} - 3 x - 18 = 0

Find one solution for

x^{4} - 3 x - 18 = 0

using Newton-Raphson:

x \approx - 1.87552 \dots

Apply long division:

\frac{x ^{4} - 3 x - 18}{x + 1.87552 \dots} = x^{3} - 1.87552 \dots x^{2} + 3.51758 \dots x - 9.59732 \dots

x^{3} - 1.87552 \dots x^{2} + 3.51758 \dots x - 9.59732 \dots \approx 0

Find one solution for

x^{3} - 1.87552 \dots x^{2} + 3.51758 \dots x - 9.59732 \dots = 0

using Newton-Raphson:

x \approx 2.22903 \dots

Apply long division:

\frac{x ^{3} - 1.87552 \dots x ^{2} + 3.51758 \dots x - 9.59732 \dots}{x - 2.22903 \dots} = x^{2} + 0.35351 \dots x + 4.30558 \dots

x^{2} + 0.35351 \dots x + 4.30558 \dots \approx 0

Find one solution for

x^{2} + 0.35351 \dots x + 4.30558 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx - 1.87552 \dots, x \approx 2.22903 \dots

0 = x^{4} - 9

x^{4} - 2 x^{3} - 5 = 0

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

x^{4} = 27 x

7 x^{4} = 56 x

What are the solutions to the equation x^4-3x-18=0 ?
The solutions to the equation x^4-3x-18=0 are x\approx-1.87552…,x\approx 2.22903…
Find the zeros of x^4-3x-18=0
The zeros of x^4-3x-18=0 are x\approx-1.87552…,x\approx 2.22903…