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

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

Find the zeros of λ^3+2λ^2-λ-2=0

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

λ^{3} + 2 λ^{2} - λ - 2 = 0

λ = - 2, λ = - 1, λ = 1

Solution steps

λ^{3} + 2 λ^{2} - λ - 2 = 0

Factor

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

(λ + 2) (λ + 1) (λ - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ + 2 = 0 or λ + 1 = 0 or λ - 1 = 0

Solve

λ + 2 = 0 : λ = - 2

Solve

λ + 1 = 0 : λ = - 1

Solve

λ - 1 = 0 : λ = 1

The solutions are

λ = - 2, λ = - 1, λ = 1

x^{5} + x^{3} + 1 = 0

x (x - 1)^{2} = 0

(x - 2) (x + 1) (x - 5) = 0

x^{5} + 8 x^{2} = 0

- 27 = x^{3}

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