What are the solutions to the equation n^3-3n=40 ?

The solutions to the equation n^3-3n=40 are n\approx 3.71170…

Find the zeros of n^3-3n=40

The zeros of n^3-3n=40 are n\approx 3.71170…

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n^{3} - 3 n = 40

n \approx 3.71170 \dots

Solution steps

n^{3} - 3 n = 40

Move

40

to the left side

n^{3} - 3 n - 40 = 0

Find one solution for

n^{3} - 3 n - 40 = 0

using Newton-Raphson:

n \approx 3.71170 \dots

Apply long division:

\frac{n ^{3} - 3 n - 40}{n - 3.71170 \dots} = n^{2} + 3.71170 \dots n + 10.77672 \dots

n^{2} + 3.71170 \dots n + 10.77672 \dots \approx 0

Find one solution for

n^{2} + 3.71170 \dots n + 10.77672 \dots = 0

using Newton-Raphson:

No Solution for

n \in R

The solution is

n \approx 3.71170 \dots

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

y, x = y^{4} - 16

0 = 10 x^{3} + 19 x^{2} - 5 x - 6

w^{6} = - 64

t^{3} - 2 = 2

What are the solutions to the equation n^3-3n=40 ?
The solutions to the equation n^3-3n=40 are n\approx 3.71170…
Find the zeros of n^3-3n=40
The zeros of n^3-3n=40 are n\approx 3.71170…