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受欢迎的代数 >

2k(k-4)=1

解答

2 k (k - 4) = 1

解答

k = \frac{4 + 3 2}{2}, k = \frac{4 - 3 2}{2}

+1

十进制

k = 4.12132 \dots, k = - 0.12132 \dots

求解步骤

2 k (k - 4) = 1

展开

2 k (k - 4) : 2 k^{2} - 8 k

2 k^{2} - 8 k = 1

将

1

para o lado esquerdo

2 k^{2} - 8 k - 1 = 0

使用求根公式求解

k_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 2 ( - 1 )}{2 \cdot 2}

(- 8)^{2} - 4 \cdot 2 (- 1) = 62

k_{1, 2} = \frac{- ( - 8 ) \pm 6 2}{2 \cdot 2}

将解分隔开

k_{1} = \frac{- ( - 8 ) + 6 2}{2 \cdot 2}, k_{2} = \frac{- ( - 8 ) - 6 2}{2 \cdot 2}

k = \frac{- ( - 8 ) + 6 2}{2 \cdot 2} : \frac{4 + 3 2}{2}

k = \frac{- ( - 8 ) - 6 2}{2 \cdot 2} : \frac{4 - 3 2}{2}

二次方程组的解是:

k = \frac{4 + 3 2}{2}, k = \frac{4 - 3 2}{2}

作图

流行的例子

(x - 7)^{2} = - 9

25 x^{2} - 196 = 0

4 (x + 2)^{2} + 13 = 29

solvefor y,x^2+y^2=xy

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

solvefor y,3x^2+5x^2y^2=2y

so l v e f or y, 3 x^{2} + 5 x^{2} y^{2} = 2 y