What are the solutions to the equation -λ^3+5λ^2-3λ-9=0 ?

The solutions to the equation -λ^3+5λ^2-3λ-9=0 are λ=-1,λ=3

Find the zeros of -λ^3+5λ^2-3λ-9=0

The zeros of -λ^3+5λ^2-3λ-9=0 are λ=-1,λ=3

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- λ^{3} + 5 λ^{2} - 3 λ - 9 = 0

λ = - 1, λ = 3

Solution steps

- λ^{3} + 5 λ^{2} - 3 λ - 9 = 0

Factor

- λ^{3} + 5 λ^{2} - 3 λ - 9 : - (λ + 1) (λ - 3)^{2}

- (λ + 1) (λ - 3)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ + 1 = 0 or λ - 3 = 0

Solve

λ + 1 = 0 : λ = - 1

Solve

λ - 3 = 0 : λ = 3

The solutions are

λ = - 1, λ = 3

25 x^{4} + 80 x^{2} + 64 = 0

200 x^{3} + 2000 x - 1000 = 0

x^{3} - 6 x^{2} - 25 x + 150 = 0

x^{3} + 12 x^{2} + 35 x = 0

x^{4} - 19 x^{2} + 90 = 0

What are the solutions to the equation -λ^3+5λ^2-3λ-9=0 ?
The solutions to the equation -λ^3+5λ^2-3λ-9=0 are λ=-1,λ=3
Find the zeros of -λ^3+5λ^2-3λ-9=0
The zeros of -λ^3+5λ^2-3λ-9=0 are λ=-1,λ=3