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受欢迎的代数 >

((2x-1))/((3x-3))-5x=0

解答

\frac{( 2 x - 1 )}{( 3 x - 3 )} - 5 x = 0

解答

x = \frac{17 - 229}{30}, x = \frac{17 + 229}{30}

+1

十进制

x = 0.06224 \dots, x = 1.07109 \dots

求解步骤

\frac{( 2 x - 1 )}{( 3 x - 3 )} - 5 x = 0

化简

\frac{( 2 x - 1 )}{( 3 x - 3 )} : \frac{2 x - 1}{3 x - 3}

\frac{2 x - 1}{3 x - 3} - 5 x = 0

在两边乘以

3 x - 3

2 x - 1 - 5 x (3 x - 3) = 0

解

2 x - 1 - 5 x (3 x - 3) = 0 : x = \frac{17 - 229}{30}, x = \frac{17 + 229}{30}

x = \frac{17 - 229}{30}, x = \frac{17 + 229}{30}

验证解

找到无定义的点（奇点）:

x = 1

将不在定义域的点与解相综合:

x = \frac{17 - 229}{30}, x = \frac{17 + 229}{30}

作图

流行的例子

\frac{5}{10} = \frac{7}{x}

\frac{x}{x} = 4 x + 30

((2-x))/((x-2))=12

\frac{( 2 - x )}{( x - 2 )} = 12

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

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

3x^{-2}-13x^{-1}+12=0

3 x^{- 2} - 13 x^{- 1} + 12 = 0