What are the solutions to the equation x^5-3x+9=0 ?

The solutions to the equation x^5-3x+9=0 are x\approx-1.69744…

Find the zeros of x^5-3x+9=0

The zeros of x^5-3x+9=0 are x\approx-1.69744…

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x^{5} - 3 x + 9 = 0

x \approx - 1.69744 \dots

Solution steps

x^{5} - 3 x + 9 = 0

Find one solution for

x^{5} - 3 x + 9 = 0

using Newton-Raphson:

x \approx - 1.69744 \dots

Apply long division:

\frac{x ^{5} - 3 x + 9}{x + 1.69744 \dots} = x^{4} - 1.69744 \dots x^{3} + 2.88133 \dots x^{2} - 4.89091 \dots x + 5.30207 \dots

x^{4} - 1.69744 \dots x^{3} + 2.88133 \dots x^{2} - 4.89091 \dots x + 5.30207 \dots \approx 0

Find one solution for

x^{4} - 1.69744 \dots x^{3} + 2.88133 \dots x^{2} - 4.89091 \dots x + 5.30207 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.69744 \dots

x^{3} - 9 x^{2} + 33 x + 45 = 2

x, x^{3} = 729

(y^{2} - y + 1)^{2} = 0

x^{3} + 2 x + 1 x = 3

9 x^{4} + 82 x^{2} + 9 = 0

What are the solutions to the equation x^5-3x+9=0 ?
The solutions to the equation x^5-3x+9=0 are x\approx-1.69744…
Find the zeros of x^5-3x+9=0
The zeros of x^5-3x+9=0 are x\approx-1.69744…