What are the solutions to the equation x^3+2x=10 ?

The solutions to the equation x^3+2x=10 are x\approx 1.84741…

Find the zeros of x^3+2x=10

The zeros of x^3+2x=10 are x\approx 1.84741…

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x^{3} + 2 x = 10

x \approx 1.84741 \dots

Solution steps

x^{3} + 2 x = 10

Move

10

to the left side

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

Find one solution for

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

using Newton-Raphson:

x \approx 1.84741 \dots

Apply long division:

\frac{x ^{3} + 2 x - 10}{x - 1.84741 \dots} = x^{2} + 1.84741 \dots x + 5.41295 \dots

x^{2} + 1.84741 \dots x + 5.41295 \dots \approx 0

Find one solution for

x^{2} + 1.84741 \dots x + 5.41295 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.84741 \dots

x^{4} + 81 = 18 x^{2}

t^{2} (5 t^{2} - 28 t - 9) = 0

x^{3} + 2 x^{2} - 21 x + 18 = 0

4 x^{4} - 29 x^{2} + 25 = 0

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

What are the solutions to the equation x^3+2x=10 ?
The solutions to the equation x^3+2x=10 are x\approx 1.84741…
Find the zeros of x^3+2x=10
The zeros of x^3+2x=10 are x\approx 1.84741…