What are the solutions to the equation 3-2x=-x^{11} ?

The solutions to the equation 3-2x=-x^{11} are x\approx-1.16427…

Find the zeros of 3-2x=-x^{11}

The zeros of 3-2x=-x^{11} are x\approx-1.16427…

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3 - 2 x = - x^{11}

x \approx - 1.16427 \dots

Solution steps

3 - 2 x = - x^{11}

Switch sides

- x^{11} = 3 - 2 x

Move

2 x

to the left side

- x^{11} + 2 x = 3

Move

3

to the left side

- x^{11} + 2 x - 3 = 0

Find one solution for

- x^{11} + 2 x - 3 = 0

using Newton-Raphson:

x \approx - 1.16427 \dots

Apply long division:

\frac{- x ^{11} + 2 x - 3}{x + 1.16427 \dots} = - x^{10} + 1.16427 \dots x^{9} - 1.35553 \dots x^{8} + 1.57821 \dots x^{7} - 1.83747 \dots x^{6} + 2.13932 \dots x^{5} - 2.49076 \dots x^{4} + 2.89993 \dots x^{3} - 3.37631 \dots x^{2} + 3.93095 \dots x - 2.57671 \dots

- x^{10} + 1.16427 \dots x^{9} - 1.35553 \dots x^{8} + 1.57821 \dots x^{7} - 1.83747 \dots x^{6} + 2.13932 \dots x^{5} - 2.49076 \dots x^{4} + 2.89993 \dots x^{3} - 3.37631 \dots x^{2} + 3.93095 \dots x - 2.57671 \dots \approx 0

Find one solution for

- x^{10} + 1.16427 \dots x^{9} - 1.35553 \dots x^{8} + 1.57821 \dots x^{7} - 1.83747 \dots x^{6} + 2.13932 \dots x^{5} - 2.49076 \dots x^{4} + 2.89993 \dots x^{3} - 3.37631 \dots x^{2} + 3.93095 \dots x - 2.57671 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.16427 \dots

64 - x^{3} = 0

4 x^{3} + 16 x^{2} + x + 4 = 0

x^{3} + 5 x^{2} + 7 x + 3 = 0

r^{8} - 17 r^{4} + 16 = 0

x^{3} - 9 x^{2} - x + 9 = 0

What are the solutions to the equation 3-2x=-x^{11} ?
The solutions to the equation 3-2x=-x^{11} are x\approx-1.16427…
Find the zeros of 3-2x=-x^{11}
The zeros of 3-2x=-x^{11} are x\approx-1.16427…