What are the solutions to the equation 5893D^5+0.02D=1.8 ?

The solutions to the equation 5893D^5+0.02D=1.8 are D\approx 0.19805…

Find the zeros of 5893D^5+0.02D=1.8

The zeros of 5893D^5+0.02D=1.8 are D\approx 0.19805…

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5893 D^{5} + 0.02 D = 1.8

D \approx 0.19805 \dots

Solution steps

5893 D^{5} + 0.02 D = 1.8

Multiply both sides by

100

589300 D^{5} + 2 D = 180

Move

180

to the left side

589300 D^{5} + 2 D - 180 = 0

Find one solution for

589300 D^{5} + 2 D - 180 = 0

using Newton-Raphson:

D \approx 0.19805 \dots

Apply long division:

\frac{589300 D ^{5} + 2 D - 180}{D - 0.19805 \dots} = 589300 D^{4} + 116716.51085 \dots D^{3} + 23116.82318 \dots D^{2} + 4578.50830 \dots D + 908.81743 \dots

589300 D^{4} + 116716.51085 \dots D^{3} + 23116.82318 \dots D^{2} + 4578.50830 \dots D + 908.81743 \dots \approx 0

Find one solution for

589300 D^{4} + 116716.51085 \dots D^{3} + 23116.82318 \dots D^{2} + 4578.50830 \dots D + 908.81743 \dots = 0

using Newton-Raphson:

No Solution for

D \in R

The solution is

D \approx 0.19805 \dots

z^{3} - 8 i = 0

x^{2} x^{6} = 256

x^{4} - 27 x^{2} + 176 = 0

9 x^{4} + 40 x^{2} + 16 = 0

x^{3} = 4 x^{2}

What are the solutions to the equation 5893D^5+0.02D=1.8 ?
The solutions to the equation 5893D^5+0.02D=1.8 are D\approx 0.19805…
Find the zeros of 5893D^5+0.02D=1.8
The zeros of 5893D^5+0.02D=1.8 are D\approx 0.19805…