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受欢迎的代数 >

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

解答

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

解答

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

+1

十进制

x = 0.5, x = - 3

求解步骤

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

乘以最小公倍数

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

解

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

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

验证解

找到无定义的点（奇点）:

x = - 4, x = 2

将不在定义域的点与解相综合:

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

作图

流行的例子

0=(x^2+3x)/((3x+1)^2)

0 = \frac{x ^{2} + 3 x}{( 3 x + 1 ) ^{2}}

solvefor r,F=G(mm)/(r^2)

so l v e f or r, F = G \frac{mm}{r ^{2}}

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

2/(x-7)= 9/(x+7)

\frac{2}{x - 7} = \frac{9}{x + 7}

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

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