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

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

Find the zeros of λ^3-3λ^2+3λ-1=0

The zeros of λ^3-3λ^2+3λ-1=0 are λ=1

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λ^{3} - 3 λ^{2} + 3 λ - 1 = 0

λ = 1

Solution steps

λ^{3} - 3 λ^{2} + 3 λ - 1 = 0

Factor

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

(λ - 1)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ - 1 = 0

Solve

λ - 1 = 0 : λ = 1

The solution is

λ = 1

12 q - 21 q^{2} - 6 q^{3} = 0

5 - 1 x^{3} = - 15

x^{3} - 3 x^{2} - 4 x - 12 = 0

x^{4} + 2 x^{2} + 5 = 0

y, y^{6} = x

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