What are the solutions to the equation x^3+x=9 ?

The solutions to the equation x^3+x=9 are x\approx 1.92017…

Find the zeros of x^3+x=9

The zeros of x^3+x=9 are x\approx 1.92017…

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x^{3} + x = 9

x \approx 1.92017 \dots

Solution steps

x^{3} + x = 9

Move

9

to the left side

x^{3} + x - 9 = 0

Find one solution for

x^{3} + x - 9 = 0

using Newton-Raphson:

x \approx 1.92017 \dots

Apply long division:

\frac{x ^{3} + x - 9}{x - 1.92017 \dots} = x^{2} + 1.92017 \dots x + 4.68707 \dots

x^{2} + 1.92017 \dots x + 4.68707 \dots \approx 0

Find one solution for

x^{2} + 1.92017 \dots x + 4.68707 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.92017 \dots

z^{4} = (1 + 2 i)^{8}

x, z = (2 x + 3 y)^{10}

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

x^{5} = 2

x, 3 x^{3} + 2 y = 10

What are the solutions to the equation x^3+x=9 ?
The solutions to the equation x^3+x=9 are x\approx 1.92017…
Find the zeros of x^3+x=9
The zeros of x^3+x=9 are x\approx 1.92017…