What are the solutions to the equation -λ^3+12λ^2-21λ+10=0 ?

The solutions to the equation -λ^3+12λ^2-21λ+10=0 are λ=1,λ=10

Find the zeros of -λ^3+12λ^2-21λ+10=0

The zeros of -λ^3+12λ^2-21λ+10=0 are λ=1,λ=10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

- λ^{3} + 12 λ^{2} - 21 λ + 10 = 0

λ = 1, λ = 10

Solution steps

- λ^{3} + 12 λ^{2} - 21 λ + 10 = 0

Factor

- λ^{3} + 12 λ^{2} - 21 λ + 10 : - (λ - 1)^{2} (λ - 10)

- (λ - 1)^{2} (λ - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ - 1 = 0 or λ - 10 = 0

Solve

λ - 1 = 0 : λ = 1

Solve

λ - 10 = 0 : λ = 10

The solutions are

λ = 1, λ = 10

x^{4} + 2 x^{3} - 11 x^{2} - 12 x + 36 = 0

x^{2} + x^{10} = 0

4 \cdot x^{3} = 32

x, x x^{2} + y^{2} = 0

x^{3} - 7 x^{2} + 2 x + 40 = 0

What are the solutions to the equation -λ^3+12λ^2-21λ+10=0 ?
The solutions to the equation -λ^3+12λ^2-21λ+10=0 are λ=1,λ=10
Find the zeros of -λ^3+12λ^2-21λ+10=0
The zeros of -λ^3+12λ^2-21λ+10=0 are λ=1,λ=10