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受欢迎的代数 >

(3(x-1))/5 (4(x+2))/3 = 2/7

解答

\frac{3 ( x - 1 )}{5} \frac{4 ( x + 2 )}{3} = \frac{2}{7}

解答

x = \frac{- 7 + 511}{14}, x = - \frac{7 + 511}{14}

+1

十进制

x = 1.11466 \dots, x = - 2.11466 \dots

求解步骤

\frac{3 ( x - 1 )}{5} \cdot \frac{4 ( x + 2 )}{3} = \frac{2}{7}

化简

5 \cdot 3 : 15

\frac{3 ( x - 1 ) \cdot 4 ( x + 2 )}{15} = \frac{2}{7}

找到

15, 7

的最小公倍数:

105

乘以最小公倍数=

105

\frac{3 ( x - 1 ) \cdot 4 ( x + 2 )}{15} \cdot 105 = \frac{2}{7} \cdot 105

化简

84 (x - 1) (x + 2) = 30

展开

84 (x - 1) (x + 2) : 84 x^{2} + 84 x - 168

84 x^{2} + 84 x - 168 = 30

将

30

para o lado esquerdo

84 x^{2} + 84 x - 198 = 0

使用求根公式求解

x_{1, 2} = \frac{- 84 \pm 8 4 ^{2} - 4 \cdot 84 ( - 198 )}{2 \cdot 84}

8 4^{2} - 4 \cdot 84 (- 198) = 12511

x_{1, 2} = \frac{- 84 \pm 12 511}{2 \cdot 84}

将解分隔开

x_{1} = \frac{- 84 + 12 511}{2 \cdot 84}, x_{2} = \frac{- 84 - 12 511}{2 \cdot 84}

x = \frac{- 84 + 12 511}{2 \cdot 84} : \frac{- 7 + 511}{14}

x = \frac{- 84 - 12 511}{2 \cdot 84} : - \frac{7 + 511}{14}

二次方程组的解是:

x = \frac{- 7 + 511}{14}, x = - \frac{7 + 511}{14}

作图

流行的例子

0 = t^{2} - 8 t + 7

x (x - 2) = 2 (x + 6)

5 x^{2} + 20 x + 21 = 0

x^{2} - x = a x - a

solvefor y,x^2+((5y)/4-sqrt(x))^2=1

so l v e f or y, x^{2} + (\frac{5 y}{4} - x)^{2} = 1