What are the solutions to the equation x^4-8x^2-33x-20=0 ?

The solutions to the equation x^4-8x^2-33x-20=0 are x\approx-0.72516…,x\approx 4.13984…

Find the zeros of x^4-8x^2-33x-20=0

The zeros of x^4-8x^2-33x-20=0 are x\approx-0.72516…,x\approx 4.13984…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{4} - 8 x^{2} - 33 x - 20 = 0

x \approx - 0.72516 \dots, x \approx 4.13984 \dots

Solution steps

x^{4} - 8 x^{2} - 33 x - 20 = 0

Find one solution for

x^{4} - 8 x^{2} - 33 x - 20 = 0

using Newton-Raphson:

x \approx - 0.72516 \dots

Apply long division:

\frac{x ^{4} - 8 x ^{2} - 33 x - 20}{x + 0.72516 \dots} = x^{3} - 0.72516 \dots x^{2} - 7.47413 \dots x - 27.58003 \dots

x^{3} - 0.72516 \dots x^{2} - 7.47413 \dots x - 27.58003 \dots \approx 0

Find one solution for

x^{3} - 0.72516 \dots x^{2} - 7.47413 \dots x - 27.58003 \dots = 0

using Newton-Raphson:

x \approx 4.13984 \dots

Apply long division:

\frac{x ^{3} - 0.72516 \dots x ^{2} - 7.47413 \dots x - 27.58003 \dots}{x - 4.13984 \dots} = x^{2} + 3.41468 \dots x + 6.66209 \dots

x^{2} + 3.41468 \dots x + 6.66209 \dots \approx 0

Find one solution for

x^{2} + 3.41468 \dots x + 6.66209 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx - 0.72516 \dots, x \approx 4.13984 \dots

(x + 2)^{5} = 2^{16}

x^{3} + x^{2} = 100

16714 = 2232 \cdot (1 + x)^{12}

x^{4} - 8 x^{3} + 14 x^{2} + 8 x - 15 = 0

4 x^{4} - 401 x^{2} + 100 = 0

What are the solutions to the equation x^4-8x^2-33x-20=0 ?
The solutions to the equation x^4-8x^2-33x-20=0 are x\approx-0.72516…,x\approx 4.13984…
Find the zeros of x^4-8x^2-33x-20=0
The zeros of x^4-8x^2-33x-20=0 are x\approx-0.72516…,x\approx 4.13984…