What are the solutions to the equation (z+1)^5=z^5 ?

The solutions to the equation (z+1)^5=z^5 are No Solution for z\in\mathbb{R}

Find the zeros of (z+1)^5=z^5

The zeros of (z+1)^5=z^5 are No Solution for z\in\mathbb{R}

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(z + 1)^{5} = z^{5}

No Solution for z \in R

Solution steps

(z + 1)^{5} = z^{5}

Expand

(z + 1)^{5} : z^{5} + 5 z^{4} + 10 z^{3} + 10 z^{2} + 5 z + 1

z^{5} + 5 z^{4} + 10 z^{3} + 10 z^{2} + 5 z + 1 = z^{5}

Move

z^{5}

to the left side

5 z^{4} + 10 z^{3} + 10 z^{2} + 5 z + 1 = 0

Find one solution for

5 z^{4} + 10 z^{3} + 10 z^{2} + 5 z + 1 = 0

using Newton-Raphson:

No Solution for

z \in R

The solution is

No Solution for z \in R

y, x = y^{3} - 1

x^{3} + 4 x^{2} - 3 x - 18 = 0

x^{8} + 8 x^{4} = 9

w^{3} = 1000

x^{3} - 4 x^{2} - 7 x + 10 = 0

What are the solutions to the equation (z+1)^5=z^5 ?
The solutions to the equation (z+1)^5=z^5 are No Solution for z\in\mathbb{R}
Find the zeros of (z+1)^5=z^5
The zeros of (z+1)^5=z^5 are No Solution for z\in\mathbb{R}