What are the solutions to the equation λ^3-9λ^2+15λ-7=0 ?

The solutions to the equation λ^3-9λ^2+15λ-7=0 are λ=1,λ=7

Find the zeros of λ^3-9λ^2+15λ-7=0

The zeros of λ^3-9λ^2+15λ-7=0 are λ=1,λ=7

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λ^{3} - 9 λ^{2} + 15 λ - 7 = 0

λ = 1, λ = 7

Solution steps

λ^{3} - 9 λ^{2} + 15 λ - 7 = 0

Factor

λ^{3} - 9 λ^{2} + 15 λ - 7 : (λ - 1)^{2} (λ - 7)

(λ - 1)^{2} (λ - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ - 1 = 0 or λ - 7 = 0

Solve

λ - 1 = 0 : λ = 1

Solve

λ - 7 = 0 : λ = 7

The solutions are

λ = 1, λ = 7

x^{2} (x^{2} + 1) = 2

x^{3} + 5 x^{2} - 17 x - 21 = 0

u^{4} - 19 = - 17

x^{4} - x^{3} - 5 x^{2} + 3 x + 6 = 0

x^{9} - x^{7} + x^{5} - x^{3} + x = 0

What are the solutions to the equation λ^3-9λ^2+15λ-7=0 ?
The solutions to the equation λ^3-9λ^2+15λ-7=0 are λ=1,λ=7
Find the zeros of λ^3-9λ^2+15λ-7=0
The zeros of λ^3-9λ^2+15λ-7=0 are λ=1,λ=7