What are the solutions to the equation 7x^5+x+730+x=81 ?

The solutions to the equation 7x^5+x+730+x=81 are x\approx-2.47039…

Find the zeros of 7x^5+x+730+x=81

The zeros of 7x^5+x+730+x=81 are x\approx-2.47039…

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7 x^{5} + x + 730 + x = 81

x \approx - 2.47039 \dots

Solution steps

7 x^{5} + x + 730 + x = 81

Refine

7 x^{5} + 2 x + 730 = 81

Move

81

to the left side

7 x^{5} + 2 x + 649 = 0

Find one solution for

7 x^{5} + 2 x + 649 = 0

using Newton-Raphson:

x \approx - 2.47039 \dots

Apply long division:

\frac{7 x ^{5} + 2 x + 649}{x + 2.47039 \dots} = 7 x^{4} - 17.29273 \dots x^{3} + 42.71979 \dots x^{2} - 105.53455 \dots x + 262.71153 \dots

7 x^{4} - 17.29273 \dots x^{3} + 42.71979 \dots x^{2} - 105.53455 \dots x + 262.71153 \dots \approx 0

Find one solution for

7 x^{4} - 17.29273 \dots x^{3} + 42.71979 \dots x^{2} - 105.53455 \dots x + 262.71153 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 2.47039 \dots

x^{5} = 48

x^{3} + 343 = 0

y^{5} - 14 y^{4} + 4 y^{3} = 0

x^{3} = 8000

x + 2 = 1.21 x^{10}

What are the solutions to the equation 7x^5+x+730+x=81 ?
The solutions to the equation 7x^5+x+730+x=81 are x\approx-2.47039…
Find the zeros of 7x^5+x+730+x=81
The zeros of 7x^5+x+730+x=81 are x\approx-2.47039…