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受欢迎的代数 >

(1-λ)(-λ)(2-λ)+λ=0

解答

(1 - λ) (- λ) (2 - λ) + λ = 0

解答

λ = 0, λ = \frac{3 + 5}{2}, λ = \frac{3 - 5}{2}

+1

十进制

λ = 0, λ = 2.61803 \dots, λ = 0.38196 \dots

求解步骤

(1 - λ) (- λ) (2 - λ) + λ = 0

因式分解

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

- λ (λ^{2} - 3 λ + 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

λ = 0 or λ^{2} - 3 λ + 1 = 0

解

λ^{2} - 3 λ + 1 = 0 : λ = \frac{3 + 5}{2}, λ = \frac{3 - 5}{2}

解为

λ = 0, λ = \frac{3 + 5}{2}, λ = \frac{3 - 5}{2}

作图

流行的例子

4 x^{5} = 144 x^{3}

x^4-3x^3+7x-2=0

x^{4} - 3 x^{3} + 7 x - 2 = 0

x^{4} - 4 x^{3} + 10 = 0

(2x+7)(x^2-15)=0

(2 x + 7) (x^{2} - 15) = 0

x^3+2x^2-11x=12

x^{3} + 2 x^{2} - 11 x = 12