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受欢迎的代数 >

2(x-3)=x(13-x)

解答

2 (x - 3) = x (13 - x)

解答

x = - \frac{- 11 + 145}{2}, x = \frac{11 + 145}{2}

+1

十进制

x = - 0.52079 \dots, x = 11.52079 \dots

求解步骤

2 (x - 3) = x (13 - x)

展开

2 (x - 3) : 2 x - 6

展开

x (13 - x) : 13 x - x^{2}

2 x - 6 = 13 x - x^{2}

交换两边

13 x - x^{2} = 2 x - 6

将

6

para o lado esquerdo

13 x - x^{2} + 6 = 2 x

将

2 x

para o lado esquerdo

- x^{2} + 11 x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 ( - 1 ) \cdot 6}{2 ( - 1 )}

1 1^{2} - 4 (- 1) \cdot 6 = 145

x_{1, 2} = \frac{- 11 \pm 145}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 11 + 145}{2 ( - 1 )}, x_{2} = \frac{- 11 - 145}{2 ( - 1 )}

x = \frac{- 11 + 145}{2 ( - 1 )} : - \frac{- 11 + 145}{2}

x = \frac{- 11 - 145}{2 ( - 1 )} : \frac{11 + 145}{2}

二次方程组的解是:

x = - \frac{- 11 + 145}{2}, x = \frac{11 + 145}{2}

作图

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