What are the solutions to the equation -λ^3+5λ^2-6λ=0 ?

The solutions to the equation -λ^3+5λ^2-6λ=0 are λ=0,λ=2,λ=3

Find the zeros of -λ^3+5λ^2-6λ=0

The zeros of -λ^3+5λ^2-6λ=0 are λ=0,λ=2,λ=3

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- λ^{3} + 5 λ^{2} - 6 λ = 0

λ = 0, λ = 2, λ = 3

Solution steps

- λ^{3} + 5 λ^{2} - 6 λ = 0

Factor

- λ^{3} + 5 λ^{2} - 6 λ : - λ (λ - 2) (λ - 3)

- λ (λ - 2) (λ - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ = 0 or λ - 2 = 0 or λ - 3 = 0

Solve

λ - 2 = 0 : λ = 2

Solve

λ - 3 = 0 : λ = 3

The solutions are

λ = 0, λ = 2, λ = 3

a x + b x^{3} = 0

1 - x^{2} = 24 x^{3}

x^{3} + 2 x^{2} - 10 x - 19 = 0

a^{3} = 5 (3) - 1

(3 x - 1)^{2} = (3 x - 1)^{3}

What are the solutions to the equation -λ^3+5λ^2-6λ=0 ?
The solutions to the equation -λ^3+5λ^2-6λ=0 are λ=0,λ=2,λ=3
Find the zeros of -λ^3+5λ^2-6λ=0
The zeros of -λ^3+5λ^2-6λ=0 are λ=0,λ=2,λ=3