What are the solutions to the equation 3x^3-36x+3=0 ?

The solutions to the equation 3x^3-36x+3=0 are x\approx 0.08338…,x\approx 3.42165…,x\approx-3.50503…

Find the zeros of 3x^3-36x+3=0

The zeros of 3x^3-36x+3=0 are x\approx 0.08338…,x\approx 3.42165…,x\approx-3.50503…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x^{3} - 36 x + 3 = 0

x \approx 0.08338 \dots, x \approx 3.42165 \dots, x \approx - 3.50503 \dots

Solution steps

3 x^{3} - 36 x + 3 = 0

Find one solution for

3 x^{3} - 36 x + 3 = 0

using Newton-Raphson:

x \approx 0.08338 \dots

Apply long division:

\frac{3 x ^{3} - 36 x + 3}{x - 0.08338 \dots} = 3 x^{2} + 0.25014 \dots x - 35.97914 \dots

3 x^{2} + 0.25014 \dots x - 35.97914 \dots \approx 0

Find one solution for

3 x^{2} + 0.25014 \dots x - 35.97914 \dots = 0

using Newton-Raphson:

x \approx 3.42165 \dots

Apply long division:

\frac{3 x ^{2} + 0.25014 \dots x - 35.97914 \dots}{x - 3.42165 \dots} = 3 x + 10.51511 \dots

3 x + 10.51511 \dots \approx 0

x \approx - 3.50503 \dots

The solutions are

x \approx 0.08338 \dots, x \approx 3.42165 \dots, x \approx - 3.50503 \dots

3 y^{4} - 5 y^{2} + 1.5 = 0

(x + 1)^{3} = 1

3 x^{3} + 30 x^{2} - 72 x = 0

m^{3} = 10

u^{3} = 3

What are the solutions to the equation 3x^3-36x+3=0 ?
The solutions to the equation 3x^3-36x+3=0 are x\approx 0.08338…,x\approx 3.42165…,x\approx-3.50503…
Find the zeros of 3x^3-36x+3=0
The zeros of 3x^3-36x+3=0 are x\approx 0.08338…,x\approx 3.42165…,x\approx-3.50503…