What are the solutions to the equation C-C^3=15 ?

The solutions to the equation C-C^3=15 are C\approx-2.60124…

Find the zeros of C-C^3=15

The zeros of C-C^3=15 are C\approx-2.60124…

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C - C^{3} = 15

C \approx - 2.60124 \dots

Solution steps

C - C^{3} = 15

Move

15

to the left side

C - C^{3} - 15 = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- C^{3} + C - 15 = 0

Find one solution for

- C^{3} + C - 15 = 0

using Newton-Raphson:

C \approx - 2.60124 \dots

Apply long division:

\frac{- C ^{3} + C - 15}{C + 2.60124 \dots} = - C^{2} + 2.60124 \dots C - 5.76647 \dots

- C^{2} + 2.60124 \dots C - 5.76647 \dots \approx 0

Find one solution for

- C^{2} + 2.60124 \dots C - 5.76647 \dots = 0

using Newton-Raphson:

No Solution for

C \in R

The solution is

C \approx - 2.60124 \dots

2 x^{3} - 6 x^{2} + 2 x = 0

(x - 3)^{2} (x + 1) = 0

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

x^{4} - 4 x^{3} - 3 x^{2} + 10 x + 2 = 0

40000 = 17000 (1 + r)^{10}

What are the solutions to the equation C-C^3=15 ?
The solutions to the equation C-C^3=15 are C\approx-2.60124…
Find the zeros of C-C^3=15
The zeros of C-C^3=15 are C\approx-2.60124…