What are the solutions to the equation x^7+14x^5+16x^3+30x-560=0 ?

The solutions to the equation x^7+14x^5+16x^3+30x-560=0 are x\approx 1.86938…

Find the zeros of x^7+14x^5+16x^3+30x-560=0

The zeros of x^7+14x^5+16x^3+30x-560=0 are x\approx 1.86938…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{7} + 14 x^{5} + 16 x^{3} + 30 x - 560 = 0

x \approx 1.86938 \dots

Solution steps

x^{7} + 14 x^{5} + 16 x^{3} + 30 x - 560 = 0

Find one solution for

x^{7} + 14 x^{5} + 16 x^{3} + 30 x - 560 = 0

using Newton-Raphson:

x \approx 1.86938 \dots

Apply long division:

\frac{x ^{7} + 14 x ^{5} + 16 x ^{3} + 30 x - 560}{x - 1.86938 \dots} = x^{6} + 1.86938 \dots x^{5} + 17.49461 \dots x^{4} + 32.70421 \dots x^{3} + 77.13685 \dots x^{2} + 144.19870 \dots x + 299.56330 \dots

x^{6} + 1.86938 \dots x^{5} + 17.49461 \dots x^{4} + 32.70421 \dots x^{3} + 77.13685 \dots x^{2} + 144.19870 \dots x + 299.56330 \dots \approx 0

Find one solution for

x^{6} + 1.86938 \dots x^{5} + 17.49461 \dots x^{4} + 32.70421 \dots x^{3} + 77.13685 \dots x^{2} + 144.19870 \dots x + 299.56330 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.86938 \dots

x^{4} - 2 x^{3} + 2 x - 1 = 0

y^{3} = 1

(\frac{x + 1}{2}) \cdot x^{3} + 5 = - 22

25 y^{3} - 36 y = 0

2 = (1 + x)^{10}

What are the solutions to the equation x^7+14x^5+16x^3+30x-560=0 ?
The solutions to the equation x^7+14x^5+16x^3+30x-560=0 are x\approx 1.86938…
Find the zeros of x^7+14x^5+16x^3+30x-560=0
The zeros of x^7+14x^5+16x^3+30x-560=0 are x\approx 1.86938…