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受欢迎的代数 >

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

解答

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

解答

x = \frac{- 5 + 105}{6}, x = - \frac{5 + 105}{6}

+1

十进制

x = 0.87449 \dots, x = - 2.54115 \dots

求解步骤

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

乘以最小公倍数

12 x + (3 x - 1) (3 x + 5) = 3 (3 x + 5)

解

12 x + (3 x - 1) (3 x + 5) = 3 (3 x + 5) : x = \frac{- 5 + 105}{6}, x = - \frac{5 + 105}{6}

x = \frac{- 5 + 105}{6}, x = - \frac{5 + 105}{6}

验证解

找到无定义的点（奇点）:

x = - \frac{5}{3}

将不在定义域的点与解相综合:

x = \frac{- 5 + 105}{6}, x = - \frac{5 + 105}{6}

作图

流行的例子

\frac{7}{5} = \frac{28}{x}

1+1/x = 6/(x^2)

1 + \frac{1}{x} = \frac{6}{x ^{2}}

3/(x-3)-6/(x^2)=0

\frac{3}{x - 3} - \frac{6}{x ^{2}} = 0

x/(x+6)=(72)/(x^2-36)+4

\frac{x}{x + 6} = \frac{72}{x ^{2} - 36} + 4

2/(3x)-(3x)/(x+7)=2

\frac{2}{3 x} - \frac{3 x}{x + 7} = 2