What are the solutions to the equation x^3-5x-10=0 ?

The solutions to the equation x^3-5x-10=0 are x\approx 2.90547…

Find the zeros of x^3-5x-10=0

The zeros of x^3-5x-10=0 are x\approx 2.90547…

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x^{3} - 5 x - 10 = 0

x \approx 2.90547 \dots

Solution steps

x^{3} - 5 x - 10 = 0

Find one solution for

x^{3} - 5 x - 10 = 0

using Newton-Raphson:

x \approx 2.90547 \dots

Apply long division:

\frac{x ^{3} - 5 x - 10}{x - 2.90547 \dots} = x^{2} + 2.90547 \dots x + 3.44177 \dots

x^{2} + 2.90547 \dots x + 3.44177 \dots \approx 0

Find one solution for

x^{2} + 2.90547 \dots x + 3.44177 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.90547 \dots

x^{4} - 10 x^{2} + 1 = 0

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

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

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

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

What are the solutions to the equation x^3-5x-10=0 ?
The solutions to the equation x^3-5x-10=0 are x\approx 2.90547…
Find the zeros of x^3-5x-10=0
The zeros of x^3-5x-10=0 are x\approx 2.90547…