What are the solutions to the equation 9c+8c^5+8=100 ?

The solutions to the equation 9c+8c^5+8=100 are c\approx 1.57613…

Find the zeros of 9c+8c^5+8=100

The zeros of 9c+8c^5+8=100 are c\approx 1.57613…

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9 c + 8 c^{5} + 8 = 100

c \approx 1.57613 \dots

Solution steps

9 c + 8 c^{5} + 8 = 100

Move

100

to the left side

8 c^{5} + 9 c - 92 = 0

Find one solution for

8 c^{5} + 9 c - 92 = 0

using Newton-Raphson:

c \approx 1.57613 \dots

Apply long division:

\frac{8 c ^{5} + 9 c - 92}{c - 1.57613 \dots} = 8 c^{4} + 12.60910 \dots c^{3} + 19.87370 \dots c^{2} + 31.32370 \dots c + 58.37050 \dots

8 c^{4} + 12.60910 \dots c^{3} + 19.87370 \dots c^{2} + 31.32370 \dots c + 58.37050 \dots \approx 0

Find one solution for

8 c^{4} + 12.60910 \dots c^{3} + 19.87370 \dots c^{2} + 31.32370 \dots c + 58.37050 \dots = 0

using Newton-Raphson:

No Solution for

c \in R

The solution is

c \approx 1.57613 \dots

(m + 1) (m^{2} - m + 1) = 0

k^{3} = 24 + k

x^{4} - x^{2} - 72 = 0

[x]^{3} - 2 [x] + 1 = 0

(x + 5)^{3} = - 64

What are the solutions to the equation 9c+8c^5+8=100 ?
The solutions to the equation 9c+8c^5+8=100 are c\approx 1.57613…
Find the zeros of 9c+8c^5+8=100
The zeros of 9c+8c^5+8=100 are c\approx 1.57613…