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

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

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

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

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

r = 1

Solution steps

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^{4} - 3 x^{2} - 28 = 0

x^{3} + 8 = 10

1 = 3 (2 + \frac{x}{3})^{9}

(z - 1)^{4} = 1

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

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