What are the solutions to the equation y^3-3y^2+3y-1=0 ?

The solutions to the equation y^3-3y^2+3y-1=0 are y=1

Find the zeros of y^3-3y^2+3y-1=0

The zeros of y^3-3y^2+3y-1=0 are y=1

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y^{3} - 3 y^{2} + 3 y - 1 = 0

y = 1

Solution steps

y^{3} - 3 y^{2} + 3 y - 1 = 0

Factor

y^{3} - 3 y^{2} + 3 y - 1 : (y - 1)^{3}

(y - 1)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y - 1 = 0

Solve

y - 1 = 0 : y = 1

The solution is

y = 1

x^{4} + 4 x^{2} - 32 = 0

- a^{3} + 4 a^{2} - 3 a = 0

12 x^{5} - 8 x^{4} - 12 x + 8 = 0

2 x^{3} + x = 4

- x^{3} + 2 x + 1 = 0

What are the solutions to the equation y^3-3y^2+3y-1=0 ?
The solutions to the equation y^3-3y^2+3y-1=0 are y=1
Find the zeros of y^3-3y^2+3y-1=0
The zeros of y^3-3y^2+3y-1=0 are y=1