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受欢迎的代数 >

1-x(x-6)=x+5

解答

1 - x (x - 6) = x + 5

解答

x = 1, x = 4

求解步骤

1 - x (x - 6) = x + 5

展开

1 - x (x - 6) : 1 - x^{2} + 6 x

1 - x^{2} + 6 x = x + 5

将

5

para o lado esquerdo

- x^{2} + 6 x - 4 = x

将

x

para o lado esquerdo

- x^{2} + 5 x - 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 1 ) ( - 4 )}{2 ( - 1 )}

5^{2} - 4 (- 1) (- 4) = 3

x_{1, 2} = \frac{- 5 \pm 3}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 5 + 3}{2 ( - 1 )}, x_{2} = \frac{- 5 - 3}{2 ( - 1 )}

x = \frac{- 5 + 3}{2 ( - 1 )} : 1

x = \frac{- 5 - 3}{2 ( - 1 )} : 4

二次方程组的解是:

x = 1, x = 4

作图

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