What are the solutions to the equation x^3-8x+6=0 ?

The solutions to the equation x^3-8x+6=0 are x\approx 0.81855…,x\approx 2.32887…,x\approx-3.14743…

Find the zeros of x^3-8x+6=0

The zeros of x^3-8x+6=0 are x\approx 0.81855…,x\approx 2.32887…,x\approx-3.14743…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} - 8 x + 6 = 0

x \approx 0.81855 \dots, x \approx 2.32887 \dots, x \approx - 3.14743 \dots

Solution steps

x^{3} - 8 x + 6 = 0

Find one solution for

x^{3} - 8 x + 6 = 0

using Newton-Raphson:

x \approx 0.81855 \dots

Apply long division:

\frac{x ^{3} - 8 x + 6}{x - 0.81855 \dots} = x^{2} + 0.81855 \dots x - 7.32996 \dots

x^{2} + 0.81855 \dots x - 7.32996 \dots \approx 0

Find one solution for

x^{2} + 0.81855 \dots x - 7.32996 \dots = 0

using Newton-Raphson:

x \approx 2.32887 \dots

Apply long division:

\frac{x ^{2} + 0.81855 \dots x - 7.32996 \dots}{x - 2.32887 \dots} = x + 3.14743 \dots

x + 3.14743 \dots \approx 0

x \approx - 3.14743 \dots

The solutions are

x \approx 0.81855 \dots, x \approx 2.32887 \dots, x \approx - 3.14743 \dots

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

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

y^{3} = 18

y^{3} = 14

y^{3} = 11

What are the solutions to the equation x^3-8x+6=0 ?
The solutions to the equation x^3-8x+6=0 are x\approx 0.81855…,x\approx 2.32887…,x\approx-3.14743…
Find the zeros of x^3-8x+6=0
The zeros of x^3-8x+6=0 are x\approx 0.81855…,x\approx 2.32887…,x\approx-3.14743…