What are the solutions to the equation (x-1)^3=1 ?

The solutions to the equation (x-1)^3=1 are x=2,x= 1/2+i(sqrt(3))/2 ,x= 1/2-i(sqrt(3))/2

Find the zeros of (x-1)^3=1

The zeros of (x-1)^3=1 are x=2,x= 1/2+i(sqrt(3))/2 ,x= 1/2-i(sqrt(3))/2

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(x - 1)^{3} = 1

x = 2, x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

Solution steps

(x - 1)^{3} = 1

For

g^{3} (x) = f (a)

the solutions are

g (x) = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

Solve

x - 1 = 1 : x = 2

Solve

x - 1 = \frac{- 1 + 3 i}{2} : x = \frac{1}{2} + i \frac{3}{2}

Solve

x - 1 = \frac{- 1 - 3 i}{2} : x = \frac{1}{2} - i \frac{3}{2}

The solutions are

x = 2, x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

6 x^{3} + 13 x^{2} - 4 = 0

2 x^{3} - 7 x^{2} - 6 x + 8 = 0

x, x^{4} - 6 x^{2} + 12 = 7

25 x^{4} - 61 x^{2} + 36 = 0

y = x^{3}, x

What are the solutions to the equation (x-1)^3=1 ?
The solutions to the equation (x-1)^3=1 are x=2,x= 1/2+i(sqrt(3))/2 ,x= 1/2-i(sqrt(3))/2
Find the zeros of (x-1)^3=1
The zeros of (x-1)^3=1 are x=2,x= 1/2+i(sqrt(3))/2 ,x= 1/2-i(sqrt(3))/2