What are the solutions to the equation x^5-3x^2+x+10=0 ?

The solutions to the equation x^5-3x^2+x+10=0 are x\approx-1.29639…

Find the zeros of x^5-3x^2+x+10=0

The zeros of x^5-3x^2+x+10=0 are x\approx-1.29639…

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

x \approx - 1.29639 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 1.29639 \dots

Apply long division:

\frac{x ^{5} - 3 x ^{2} + x + 10}{x + 1.29639 \dots} = x^{4} - 1.29639 \dots x^{3} + 1.68063 \dots x^{2} - 5.17876 \dots x + 7.71371 \dots

x^{4} - 1.29639 \dots x^{3} + 1.68063 \dots x^{2} - 5.17876 \dots x + 7.71371 \dots \approx 0

Find one solution for

x^{4} - 1.29639 \dots x^{3} + 1.68063 \dots x^{2} - 5.17876 \dots x + 7.71371 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.29639 \dots

(x^{2} + x - 6)^{2} - (x^{2} + 2 x + 1)^{2} = 0

x (x - 1)^{3} (x - 2)^{5} = 0

(x - 15)^{5} - (x - 15)^{3} = 0

x, x^{2021} + y = 4 y - 3

- 9 x^{4} + 16 x^{2} = 0

What are the solutions to the equation x^5-3x^2+x+10=0 ?
The solutions to the equation x^5-3x^2+x+10=0 are x\approx-1.29639…
Find the zeros of x^5-3x^2+x+10=0
The zeros of x^5-3x^2+x+10=0 are x\approx-1.29639…