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受欢迎的代数 >

-λ^3+2λ^2+λ-2=0

解答

- λ^{3} + 2 λ^{2} + λ - 2 = 0

解答

λ = 2, λ = - 1, λ = 1

求解步骤

- λ^{3} + 2 λ^{2} + λ - 2 = 0

因式分解

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

- (λ - 2) (λ + 1) (λ - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

λ - 2 = 0 or λ + 1 = 0 or λ - 1 = 0

解

λ - 2 = 0 : λ = 2

解

λ + 1 = 0 : λ = - 1

解

λ - 1 = 0 : λ = 1

解为

λ = 2, λ = - 1, λ = 1

作图

流行的例子

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9 x^{4} + 45 x^{2} + 14 = 0

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x (x^{3} - x^{2}) - 4 x^{2} - x^{1} = 0

418.879=6t+0.11667t^3

418.879 = 6 t + 0.11667 t^{3}

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