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受欢迎的代数 >

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

解答

\frac{x + 5}{x - 3} = \frac{2 x + 7}{x}

解答

x = 7, x = - 3

求解步骤

\frac{x + 5}{x - 3} = \frac{2 x + 7}{x}

使用分式交叉相乘

(x + 5) x = (x - 3) (2 x + 7)

解

(x + 5) x = (x - 3) (2 x + 7) : x = 7, x = - 3

x = 7, x = - 3

验证解

找到无定义的点（奇点）:

x = 3, x = 0

将不在定义域的点与解相综合:

x = 7, x = - 3

作图

流行的例子

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

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

4/((x-2)^2)-1=0

\frac{4}{( x - 2 ) ^{2}} - 1 = 0

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

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

solvefor x,16=(1-x)/(x^2)

so l v e f or x, 16 = \frac{1 - x}{x ^{2}}

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