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受欢迎的代数 >

λ^2-1.6λ+0.6=0

解答

λ^{2} - 1.6 λ + 0.6 = 0

解答

λ = 1, λ = \frac{3}{5}

+1

十进制

λ = 1, λ = 0.6

求解步骤

λ^{2} - 1.6 λ + 0.6 = 0

在两边乘以

10

10 λ^{2} - 16 λ + 6 = 0

使用求根公式求解

λ_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 10 \cdot 6}{2 \cdot 10}

(- 16)^{2} - 4 \cdot 10 \cdot 6 = 4

λ_{1, 2} = \frac{- ( - 16 ) \pm 4}{2 \cdot 10}

将解分隔开

λ_{1} = \frac{- ( - 16 ) + 4}{2 \cdot 10}, λ_{2} = \frac{- ( - 16 ) - 4}{2 \cdot 10}

λ = \frac{- ( - 16 ) + 4}{2 \cdot 10} : 1

λ = \frac{- ( - 16 ) - 4}{2 \cdot 10} : \frac{3}{5}

二次方程组的解是:

λ = 1, λ = \frac{3}{5}

作图

流行的例子

X^{2} - 12 X + 27 = 0

4 = 4 x - x^{2}

x^{2} - 10 x - 200 = 0

x^{(2)} - 5 x - 2 = 0

solvefor x,x^2=3y^2

so l v e f or x, x^{2} = 3 y^{2}