What are the solutions to the equation roots r^3-3r^2+3r-1 ?

The solutions to the equation roots r^3-3r^2+3r-1 are r=1

Find the zeros of roots r^3-3r^2+3r-1

The zeros of roots r^3-3r^2+3r-1 are r=1

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roots

r^{3} - 3 r^{2} + 3 r - 1

r = 1

Solution steps

r^{3} - 3 r^{2} + 3 r - 1

The roots are the intercepts with the x-axis

(y = 0)

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

Factor

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

(r - 1)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r - 1 = 0

Solve

r - 1 = 0 : r = 1

The solution is

r = 1

x^{3} - 3 x^{2} - 40 x = 0

x^{12} - 12 = 36

(x^{2} + 25)^{2} = 0

y, x^{3} + y^{3} = 0

x^{5} + 2 x^{3} + 10 x^{2} + x + 10 = 0

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