What are the solutions to the equation -λ^3+6λ^2-11λ+6=0 ?

The solutions to the equation -λ^3+6λ^2-11λ+6=0 are λ=1,λ=2,λ=3

Find the zeros of -λ^3+6λ^2-11λ+6=0

The zeros of -λ^3+6λ^2-11λ+6=0 are λ=1,λ=2,λ=3

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- λ^{3} + 6 λ^{2} - 11 λ + 6 = 0

λ = 1, λ = 2, λ = 3

Solution steps

- λ^{3} + 6 λ^{2} - 11 λ + 6 = 0

Factor

- λ^{3} + 6 λ^{2} - 11 λ + 6 : - (λ - 1) (λ - 2) (λ - 3)

- (λ - 1) (λ - 2) (λ - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ - 1 = 0 or λ - 2 = 0 or λ - 3 = 0

Solve

λ - 1 = 0 : λ = 1

Solve

λ - 2 = 0 : λ = 2

Solve

λ - 3 = 0 : λ = 3

The solutions are

λ = 1, λ = 2, λ = 3

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

x^{4} + 2 x^{2} = 24

y^{3} + y = 2

x, (3 x y - x)^{3} = 6 y^{2}

x^{3} - x^{2} = 400

What are the solutions to the equation -λ^3+6λ^2-11λ+6=0 ?
The solutions to the equation -λ^3+6λ^2-11λ+6=0 are λ=1,λ=2,λ=3
Find the zeros of -λ^3+6λ^2-11λ+6=0
The zeros of -λ^3+6λ^2-11λ+6=0 are λ=1,λ=2,λ=3