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受欢迎的代数 >

2m+6(2/(3-m))m=4

解答

2 m + 6 (\frac{2}{3 - m}) m = 4

解答

m = \frac{11 - 97}{2}, m = \frac{11 + 97}{2}

+1

十进制

m = 0.57557 \dots, m = 10.42442 \dots

求解步骤

2 m + 6 (\frac{2}{3 - m}) m = 4

化简

6 (\frac{2}{3 - m}) m : \frac{12 m}{3 - m}

2 m + \frac{12 m}{3 - m} = 4

在两边乘以

3 - m

2 m (3 - m) + 12 m = 4 (3 - m)

解

2 m (3 - m) + 12 m = 4 (3 - m) : m = \frac{11 - 97}{2}, m = \frac{11 + 97}{2}

m = \frac{11 - 97}{2}, m = \frac{11 + 97}{2}

验证解

找到无定义的点（奇点）:

m = 3

将不在定义域的点与解相综合:

m = \frac{11 - 97}{2}, m = \frac{11 + 97}{2}

作图

流行的例子

(600)/x = 300/80

\frac{600}{x} = \frac{300}{80}

solvefor m,(2m+1)/m =n

so l v e f or m, \frac{2 m + 1}{m} = n

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

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

2 m^{- 2} = 32

solvefor x,f=(3x-21)/(x+5)

so l v e f or x, f = \frac{3 x - 21}{x + 5}