What are the solutions to the equation -λ^3+4λ^2-3λ=0 ?

The solutions to the equation -λ^3+4λ^2-3λ=0 are λ=0,λ=1,λ=3

Find the zeros of -λ^3+4λ^2-3λ=0

The zeros of -λ^3+4λ^2-3λ=0 are λ=0,λ=1,λ=3

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- λ^{3} + 4 λ^{2} - 3 λ = 0

λ = 0, λ = 1, λ = 3

Solution steps

- λ^{3} + 4 λ^{2} - 3 λ = 0

Factor

- λ^{3} + 4 λ^{2} - 3 λ : - λ (λ - 1) (λ - 3)

- λ (λ - 1) (λ - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ = 0 or λ - 1 = 0 or λ - 3 = 0

Solve

λ - 1 = 0 : λ = 1

Solve

λ - 3 = 0 : λ = 3

The solutions are

λ = 0, λ = 1, λ = 3

x (x - 5) (x - 7) = x (7 - x)

x^{3} - 5 x^{2} - 25 x = - 125

x^{3} - 3 x + 8 = - 3 x

0 = x^{3} - 27

n^{3} = 1000

What are the solutions to the equation -λ^3+4λ^2-3λ=0 ?
The solutions to the equation -λ^3+4λ^2-3λ=0 are λ=0,λ=1,λ=3
Find the zeros of -λ^3+4λ^2-3λ=0
The zeros of -λ^3+4λ^2-3λ=0 are λ=0,λ=1,λ=3