What are the solutions to the equation -λ^3-13λ^2-56λ-80=0 ?

The solutions to the equation -λ^3-13λ^2-56λ-80=0 are λ=-4,λ=-5

Find the zeros of -λ^3-13λ^2-56λ-80=0

The zeros of -λ^3-13λ^2-56λ-80=0 are λ=-4,λ=-5

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- λ^{3} - 13 λ^{2} - 56 λ - 80 = 0

λ = - 4, λ = - 5

Solution steps

- λ^{3} - 13 λ^{2} - 56 λ - 80 = 0

Factor

- λ^{3} - 13 λ^{2} - 56 λ - 80 : - (λ + 4)^{2} (λ + 5)

- (λ + 4)^{2} (λ + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ + 4 = 0 or λ + 5 = 0

Solve

λ + 4 = 0 : λ = - 4

Solve

λ + 5 = 0 : λ = - 5

The solutions are

λ = - 4, λ = - 5

x^{3} + 2 x^{2} = x + 2

x^{3} - 10 x^{2} + 28 x + 24 = 0

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

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

20 y^{4} + 160 y^{2} - 285 = 0

What are the solutions to the equation -λ^3-13λ^2-56λ-80=0 ?
The solutions to the equation -λ^3-13λ^2-56λ-80=0 are λ=-4,λ=-5
Find the zeros of -λ^3-13λ^2-56λ-80=0
The zeros of -λ^3-13λ^2-56λ-80=0 are λ=-4,λ=-5