What are the solutions to the equation x^{13}+x+90=0 ?

The solutions to the equation x^{13}+x+90=0 are x\approx-1.41188…

Find the zeros of x^{13}+x+90=0

The zeros of x^{13}+x+90=0 are x\approx-1.41188…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{13} + x + 90 = 0

x \approx - 1.41188 \dots

Solution steps

x^{13} + x + 90 = 0

Find one solution for

x^{13} + x + 90 = 0

using Newton-Raphson:

x \approx - 1.41188 \dots

Apply long division:

\frac{x ^{13} + x + 90}{x + 1.41188 \dots} = x^{12} - 1.41188 \dots x^{11} + 1.99340 \dots x^{10} - 2.81445 \dots x^{9} + 3.97367 \dots x^{8} - 5.61035 \dots x^{7} + 7.92115 \dots x^{6} - 11.18373 \dots x^{5} + 15.79010 \dots x^{4} - 22.29374 \dots x^{3} + 31.47611 \dots x^{2} - 44.44053 \dots x + 63.74474 \dots

x^{12} - 1.41188 \dots x^{11} + 1.99340 \dots x^{10} - 2.81445 \dots x^{9} + 3.97367 \dots x^{8} - 5.61035 \dots x^{7} + 7.92115 \dots x^{6} - 11.18373 \dots x^{5} + 15.79010 \dots x^{4} - 22.29374 \dots x^{3} + 31.47611 \dots x^{2} - 44.44053 \dots x + 63.74474 \dots \approx 0

Find one solution for

x^{12} - 1.41188 \dots x^{11} + 1.99340 \dots x^{10} - 2.81445 \dots x^{9} + 3.97367 \dots x^{8} - 5.61035 \dots x^{7} + 7.92115 \dots x^{6} - 11.18373 \dots x^{5} + 15.79010 \dots x^{4} - 22.29374 \dots x^{3} + 31.47611 \dots x^{2} - 44.44053 \dots x + 63.74474 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.41188 \dots

x^{5} - 5 x^{3} - 36 x = 0

x^{3} - x^{2} - 15 x - 25 = 0

x^{5} + x^{4} + 2 x^{3} + x^{2} + 2 x + 3

x^{3} + 3 x^{2} + 3 x = 0

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

What are the solutions to the equation x^{13}+x+90=0 ?
The solutions to the equation x^{13}+x+90=0 are x\approx-1.41188…
Find the zeros of x^{13}+x+90=0
The zeros of x^{13}+x+90=0 are x\approx-1.41188…