What are the solutions to the equation 5+x^6=13-x ?

The solutions to the equation 5+x^6=13-x are x\approx 1.37060…,x\approx-1.45413…

Find the zeros of 5+x^6=13-x

The zeros of 5+x^6=13-x are x\approx 1.37060…,x\approx-1.45413…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 + x^{6} = 13 - x

x \approx 1.37060 \dots, x \approx - 1.45413 \dots

Solution steps

5 + x^{6} = 13 - x

Move

x

to the left side

5 + x^{6} + x = 13

Move

13

to the left side

x^{6} + x - 8 = 0

Find one solution for

x^{6} + x - 8 = 0

using Newton-Raphson:

x \approx 1.37060 \dots

Apply long division:

\frac{x ^{6} + x - 8}{x - 1.37060 \dots} = x^{5} + 1.37060 \dots x^{4} + 1.87855 \dots x^{3} + 2.57476 \dots x^{2} + 3.52898 \dots x + 5.83683 \dots

x^{5} + 1.37060 \dots x^{4} + 1.87855 \dots x^{3} + 2.57476 \dots x^{2} + 3.52898 \dots x + 5.83683 \dots \approx 0

Find one solution for

x^{5} + 1.37060 \dots x^{4} + 1.87855 \dots x^{3} + 2.57476 \dots x^{2} + 3.52898 \dots x + 5.83683 \dots = 0

using Newton-Raphson:

x \approx - 1.45413 \dots

Apply long division:

\frac{x ^{5} + 1.37060 \dots x ^{4} + 1.87855 \dots x ^{3} + 2.57476 \dots x ^{2} + 3.52898 \dots x + 5.83683 \dots}{x + 1.45413 \dots} = x^{4} - 0.08352 \dots x^{3} + 2.00001 \dots x^{2} - 0.33352 \dots x + 4.01396 \dots

x^{4} - 0.08352 \dots x^{3} + 2.00001 \dots x^{2} - 0.33352 \dots x + 4.01396 \dots \approx 0

Find one solution for

x^{4} - 0.08352 \dots x^{3} + 2.00001 \dots x^{2} - 0.33352 \dots x + 4.01396 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 1.37060 \dots, x \approx - 1.45413 \dots

y^{4} = 1

x, y = x^{3} + 2

x^{2} + x^{3} = 4352

n^{4} - 49 n^{2} = 0

(a^{2} + 2) (a) = 60

What are the solutions to the equation 5+x^6=13-x ?
The solutions to the equation 5+x^6=13-x are x\approx 1.37060…,x\approx-1.45413…
Find the zeros of 5+x^6=13-x
The zeros of 5+x^6=13-x are x\approx 1.37060…,x\approx-1.45413…