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

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

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

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

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

a = 1

Solution steps

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

Factor

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

- (a - 1)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a - 1 = 0

Solve

a - 1 = 0 : a = 1

The solution is

a = 1

(x - 2)^{4} = 0

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

x^{4} - 8 x^{2} + 2 = 0

2 x^{4} + 6 = 0

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

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