What are the solutions to the equation m^3-10m+1=0 ?

The solutions to the equation m^3-10m+1=0 are m\approx 0.10010…,m\approx 3.11103…,m\approx-3.21113…

Find the zeros of m^3-10m+1=0

The zeros of m^3-10m+1=0 are m\approx 0.10010…,m\approx 3.11103…,m\approx-3.21113…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

m^{3} - 10 m + 1 = 0

m \approx 0.10010 \dots, m \approx 3.11103 \dots, m \approx - 3.21113 \dots

Solution steps

m^{3} - 10 m + 1 = 0

Find one solution for

m^{3} - 10 m + 1 = 0

using Newton-Raphson:

m \approx 0.10010 \dots

Apply long division:

\frac{m ^{3} - 10 m + 1}{m - 0.10010 \dots} = m^{2} + 0.10010 \dots m - 9.98997 \dots

m^{2} + 0.10010 \dots m - 9.98997 \dots \approx 0

Find one solution for

m^{2} + 0.10010 \dots m - 9.98997 \dots = 0

using Newton-Raphson:

m \approx 3.11103 \dots

Apply long division:

\frac{m ^{2} + 0.10010 \dots m - 9.98997 \dots}{m - 3.11103 \dots} = m + 3.21113 \dots

m + 3.21113 \dots \approx 0

m \approx - 3.21113 \dots

The solutions are

m \approx 0.10010 \dots, m \approx 3.11103 \dots, m \approx - 3.21113 \dots

r^{4} - 6 0^{3} - 20600 r^{2} + 2166000 r + 32490000 = 0

x^{3} - x = \frac{1}{4} x^{2} - \frac{1}{4}

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

8 x^{1} + x^{2} + 2 x^{3} + x^{4} = 8

x, y^{2} + 1 = x^{3}

What are the solutions to the equation m^3-10m+1=0 ?
The solutions to the equation m^3-10m+1=0 are m\approx 0.10010…,m\approx 3.11103…,m\approx-3.21113…
Find the zeros of m^3-10m+1=0
The zeros of m^3-10m+1=0 are m\approx 0.10010…,m\approx 3.11103…,m\approx-3.21113…