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

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

Find the zeros of λ^3+λ=0

The zeros of λ^3+λ=0 are λ=0,λ=i,λ=-i

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λ^{3} + λ = 0

λ = 0, λ = i, λ = - i

Solution steps

λ^{3} + λ = 0

Factor

λ^{3} + λ : λ (λ^{2} + 1)

λ (λ^{2} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ = 0 or λ^{2} + 1 = 0

Solve

λ^{2} + 1 = 0 : λ = i, λ = - i

The solutions are

λ = 0, λ = i, λ = - i

- λ^{3} + 11 λ^{2} - 39 λ + 45 = 0

8 x^{3} - 10 x^{2} - 7 x - 1 = 0

- (x - 3) (x + 5) x^{2} + x - 8 = x - 3 x

x^{4} = 10000

x^{3} + 300 x = 3000

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