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受欢迎的代数 >

6x(x-1)=5-19x

解答

6 x (x - 1) = 5 - 19 x

解答

x = \frac{1}{3}, x = - \frac{5}{2}

+1

十进制

x = 0.33333 \dots, x = - 2.5

求解步骤

6 x (x - 1) = 5 - 19 x

展开

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

6 x^{2} - 6 x = 5 - 19 x

将

19 x

para o lado esquerdo

6 x^{2} + 13 x = 5

将

5

para o lado esquerdo

6 x^{2} + 13 x - 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 6 ( - 5 )}{2 \cdot 6}

1 3^{2} - 4 \cdot 6 (- 5) = 17

x_{1, 2} = \frac{- 13 \pm 17}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 13 + 17}{2 \cdot 6}, x_{2} = \frac{- 13 - 17}{2 \cdot 6}

x = \frac{- 13 + 17}{2 \cdot 6} : \frac{1}{3}

x = \frac{- 13 - 17}{2 \cdot 6} : - \frac{5}{2}

二次方程组的解是:

x = \frac{1}{3}, x = - \frac{5}{2}

作图

流行的例子

(5 x + 6)^{2} = 2

x + 5 = (x + 3)^{2}

- x^{2} = 3 - 4 x

4 x^{2} - 72 = 2 x^{2}

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