What are the solutions to the equation -4x^4+x^3+x^2+x+3.5=0 ?

The solutions to the equation -4x^4+x^3+x^2+x+3.5=0 are x\approx-0.90422…,x\approx 1.17787…

Find the zeros of -4x^4+x^3+x^2+x+3.5=0

The zeros of -4x^4+x^3+x^2+x+3.5=0 are x\approx-0.90422…,x\approx 1.17787…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

- 4 x^{4} + x^{3} + x^{2} + x + 3.5 = 0

x \approx - 0.90422 \dots, x \approx 1.17787 \dots

Solution steps

- 4 x^{4} + x^{3} + x^{2} + x + 3.5 = 0

Multiply both sides by

10

- 40 x^{4} + 10 x^{3} + 10 x^{2} + 10 x + 35 = 0

Find one solution for

- 40 x^{4} + 10 x^{3} + 10 x^{2} + 10 x + 35 = 0

using Newton-Raphson:

x \approx - 0.90422 \dots

Apply long division:

\frac{- 40 x ^{4} + 10 x ^{3} + 10 x ^{2} + 10 x + 35}{x + 0.90422 \dots} = - 40 x^{3} + 46.16916 \dots x^{2} - 31.74749 \dots x + 38.70700 \dots

- 40 x^{3} + 46.16916 \dots x^{2} - 31.74749 \dots x + 38.70700 \dots \approx 0

Find one solution for

- 40 x^{3} + 46.16916 \dots x^{2} - 31.74749 \dots x + 38.70700 \dots = 0

using Newton-Raphson:

x \approx 1.17787 \dots

Apply long division:

\frac{- 40 x ^{3} + 46.16916 \dots x ^{2} - 31.74749 \dots x + 38.70700 \dots}{x - 1.17787 \dots} = - 40 x^{2} - 0.94591 \dots x - 32.86167 \dots

- 40 x^{2} - 0.94591 \dots x - 32.86167 \dots \approx 0

Find one solution for

- 40 x^{2} - 0.94591 \dots x - 32.86167 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx - 0.90422 \dots, x \approx 1.17787 \dots

200 s^{3} + 332 s^{2} + 223 s + 2 = 0

r^{3} - r = 0

x^{3} - 6 x^{2} + 10 x - 4 = 0

x^{4} - 7 x^{2} - 44 = 0

n^{3} - n = 4 n^{2} - 4

What are the solutions to the equation -4x^4+x^3+x^2+x+3.5=0 ?
The solutions to the equation -4x^4+x^3+x^2+x+3.5=0 are x\approx-0.90422…,x\approx 1.17787…
Find the zeros of -4x^4+x^3+x^2+x+3.5=0
The zeros of -4x^4+x^3+x^2+x+3.5=0 are x\approx-0.90422…,x\approx 1.17787…