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受欢迎的代数 >

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

解答

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

解答

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

+1

十进制

x = - 4.43050 \dots, x = - 0.90283 \dots

求解步骤

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

乘以最小公倍数

x^{2} - 4 (x + 3) = 4 x (x + 3)

解

x^{2} - 4 (x + 3) = 4 x (x + 3) : x = - \frac{2 ( 4 + 7 )}{3}, x = - \frac{2 ( 4 - 7 )}{3}

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

作图

流行的例子

\frac{12}{x} + x = 8

(2x)/(x+4)=7-8/(x+4)

\frac{2 x}{x + 4} = 7 - \frac{8}{x + 4}

solvefor z,x=(w+r^2)/z

so l v e f or z, x = \frac{w + r ^{2}}{z}

\frac{36}{x} = \frac{9}{2}

(550)/(1.5x)=2.0944^2

\frac{550}{1.5 x} = 2.094 4^{2}