What are the solutions to the equation -λ^3+11λ^2-39λ+45=0 ?

The solutions to the equation -λ^3+11λ^2-39λ+45=0 are λ=3,λ=5

Find the zeros of -λ^3+11λ^2-39λ+45=0

The zeros of -λ^3+11λ^2-39λ+45=0 are λ=3,λ=5

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- λ^{3} + 11 λ^{2} - 39 λ + 45 = 0

λ = 3, λ = 5

Solution steps

- λ^{3} + 11 λ^{2} - 39 λ + 45 = 0

Factor

- λ^{3} + 11 λ^{2} - 39 λ + 45 : - (λ - 3)^{2} (λ - 5)

- (λ - 3)^{2} (λ - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ - 3 = 0 or λ - 5 = 0

Solve

λ - 3 = 0 : λ = 3

Solve

λ - 5 = 0 : λ = 5

The solutions are

λ = 3, λ = 5

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

x^{4} = 1000 x

What are the solutions to the equation -λ^3+11λ^2-39λ+45=0 ?
The solutions to the equation -λ^3+11λ^2-39λ+45=0 are λ=3,λ=5
Find the zeros of -λ^3+11λ^2-39λ+45=0
The zeros of -λ^3+11λ^2-39λ+45=0 are λ=3,λ=5