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受欢迎的代数 >

7-5/(x-2)=(10)/(x+2)

解答

7 - \frac{5}{x - 2} = \frac{10}{x + 2}

解答

x = 3, x = - \frac{6}{7}

+1

十进制

x = 3, x = - 0.85714 \dots

求解步骤

7 - \frac{5}{x - 2} = \frac{10}{x + 2}

乘以最小公倍数

7 (x - 2) (x + 2) - 5 (x + 2) = 10 (x - 2)

解

7 (x - 2) (x + 2) - 5 (x + 2) = 10 (x - 2) : x = 3, x = - \frac{6}{7}

x = 3, x = - \frac{6}{7}

验证解

找到无定义的点（奇点）:

x = 2, x = - 2

将不在定义域的点与解相综合:

x = 3, x = - \frac{6}{7}

作图

流行的例子

(5.6)/(0.4-r)=-8

\frac{5.6}{0.4 - r} = - 8

\frac{3 ( a + 1 )}{a} = a

\frac{36}{b} - 3 = 0

(2x^2)/(x^4+1)=1

\frac{2 x ^{2}}{x ^{4} + 1} = 1

\frac{x}{3} - 1 = \frac{6}{x}