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

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

Find the zeros of -λ^3+5λ^2=0

The zeros of -λ^3+5λ^2=0 are λ=0,λ=5

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- λ^{3} + 5 λ^{2} = 0

λ = 0, λ = 5

Solution steps

- λ^{3} + 5 λ^{2} = 0

Factor

- λ^{3} + 5 λ^{2} : - λ^{2} (λ - 5)

- λ^{2} (λ - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ = 0 or λ - 5 = 0

Solve

λ - 5 = 0 : λ = 5

The solutions are

λ = 0, λ = 5

525 = 5 x^{3}

27 x^{4} - 7 x^{3} + 14 = 0

x, (x + y)^{3} = 64

b^{7} - 49 b^{5} = 0

3 c^{3} + 6 c^{2} - 105 c = 0

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