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

解答

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

x = 0, x = - 2

求解步骤

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

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

x^{2} + 2 x = 0

解

x^{2} + 2 x = 0 : x = 0, x = - 2

x = 0, x = - 2

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 = 0, x = - 2

\frac{x}{x + 6} \times 100 = 12

\frac{1}{x ^{2}} + \frac{4}{x} - 12 = 0

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

\frac{x - 2}{3 x} = \frac{1}{3 x} + 2

\frac{2}{x + 1} - \frac{1}{4} = \frac{1}{5 x + 5}