What are the solutions to the equation 1=4x^3+4x ?

The solutions to the equation 1=4x^3+4x are x\approx 0.23673…

Find the zeros of 1=4x^3+4x

The zeros of 1=4x^3+4x are x\approx 0.23673…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1 = 4 x^{3} + 4 x

x \approx 0.23673 \dots

Solution steps

1 = 4 x^{3} + 4 x

Switch sides

4 x^{3} + 4 x = 1

Move

1

to the left side

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.23673 \dots

Apply long division:

\frac{4 x ^{3} + 4 x - 1}{x - 0.23673 \dots} = 4 x^{2} + 0.94693 \dots x + 4.22416 \dots

4 x^{2} + 0.94693 \dots x + 4.22416 \dots \approx 0

Find one solution for

4 x^{2} + 0.94693 \dots x + 4.22416 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.23673 \dots

y^{4} - 10 y^{2} = - 9

x, x^{3} y^{3} = 5

t^{4} - 5 t^{2} + 4 = 0

x^{3} - 7 x + 8 = 0

1305 = 2267 \cdot (1 + X)^{6}

What are the solutions to the equation 1=4x^3+4x ?
The solutions to the equation 1=4x^3+4x are x\approx 0.23673…
Find the zeros of 1=4x^3+4x
The zeros of 1=4x^3+4x are x\approx 0.23673…