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受欢迎的代数 >

((2x-2))/((x^2-2x))=2.4

解答

\frac{( 2 x - 2 )}{( x ^{2} - 2 x )} = 2.4

解答

x = \frac{5}{2}, x = \frac{1}{3}

+1

十进制

x = 2.5, x = 0.33333 \dots

求解步骤

\frac{( 2 x - 2 )}{( x ^{2} - 2 x )} = 2.4

化简

\frac{( 2 x - 2 )}{( x ^{2} - 2 x )} : \frac{2 x - 2}{x ^{2} - 2 x}

\frac{2 x - 2}{x ^{2} - 2 x} = 2.4

在两边乘以

x^{2} - 2 x

2 x - 2 = 2.4 (x^{2} - 2 x)

解

2 x - 2 = 2.4 (x^{2} - 2 x) : x = \frac{5}{2}, x = \frac{1}{3}

x = \frac{5}{2}, x = \frac{1}{3}

验证解

找到无定义的点（奇点）:

x = 0, x = 2

将不在定义域的点与解相综合:

x = \frac{5}{2}, x = \frac{1}{3}

作图

流行的例子

x/((x+10))=0.94

\frac{x}{( x + 10 )} = 0.94

1/(3x^2(x-3)+x^2)=-9

\frac{1}{3 x ^{2} ( x - 3 ) + x ^{2}} = - 9

d/((x+10))-d/((x-10))=4

\frac{d}{( x + 10 )} - \frac{d}{( x - 10 )} = 4

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

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

(11)/(7x+1)= 41/2

\frac{11}{7 x + 1} = \frac{41}{2}