What are the solutions to the equation 4x+2x^2+8x^3=10 ?

The solutions to the equation 4x+2x^2+8x^3=10 are x\approx 0.85969…

Find the zeros of 4x+2x^2+8x^3=10

The zeros of 4x+2x^2+8x^3=10 are x\approx 0.85969…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x + 2 x^{2} + 8 x^{3} = 10

x \approx 0.85969 \dots

Solution steps

4 x + 2 x^{2} + 8 x^{3} = 10

Move

10

to the left side

4 x + 2 x^{2} + 8 x^{3} - 10 = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

8 x^{3} + 2 x^{2} + 4 x - 10 = 0

Find one solution for

8 x^{3} + 2 x^{2} + 4 x - 10 = 0

using Newton-Raphson:

x \approx 0.85969 \dots

Apply long division:

\frac{8 x ^{3} + 2 x ^{2} + 4 x - 10}{x - 0.85969 \dots} = 8 x^{2} + 8.87757 \dots x + 11.63201 \dots

8 x^{2} + 8.87757 \dots x + 11.63201 \dots \approx 0

Find one solution for

8 x^{2} + 8.87757 \dots x + 11.63201 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.85969 \dots

4 x^{4} - 9 x^{2} + 3 = 0

y^{4} - 10 y^{3} + 5 y^{2} + 100 y + 100 = 0

x^{4} = 45 x + 76

x + x^{2} + x^{4} = 2000

x^{3} + x + 3 = 0

What are the solutions to the equation 4x+2x^2+8x^3=10 ?
The solutions to the equation 4x+2x^2+8x^3=10 are x\approx 0.85969…
Find the zeros of 4x+2x^2+8x^3=10
The zeros of 4x+2x^2+8x^3=10 are x\approx 0.85969…