(a+4)/a =(4a)/(a^2+a-2)

解答

\frac{a + 4}{a} = \frac{4 a}{a ^{2} + a - 2}

a \approx 1.44542 \dots

求解步骤

\frac{a + 4}{a} = \frac{4 a}{a ^{2} + a - 2}

使用分式交叉相乘

(a + 4) (a^{2} + a - 2) = 4 a^{2}

解

(a + 4) (a^{2} + a - 2) = 4 a^{2} : a \approx 1.44542 \dots

a \approx 1.44542 \dots

验证解

找到无定义的点（奇点）:

a = 0, a = - 2, a = 1

将不在定义域的点与解相综合:

a \approx 1.44542 \dots

(q) = \frac{5 q ^{2}}{q + 3 + 500}

\frac{3}{4 - x - \frac{3}{2}} = \frac{1}{6}

\frac{1}{100} = (\frac{x}{( 1 - x )})^{2}

\frac{31}{2 - 4 ( 2 x - 3 )} = \frac{1}{3 \cdot ( \frac{3}{4} - 6 x )}

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