(-15)/(x^2-5x+6)+1/(x-2)=2

解答

\frac{- 15}{x ^{2} - 5 x + 6} + \frac{1}{x - 2} = 2

x = \frac{11}{4} + i \frac{119}{4}, x = \frac{11}{4} - i \frac{119}{4}

求解步骤

\frac{- 15}{x ^{2} - 5 x + 6} + \frac{1}{x - 2} = 2

乘以最小公倍数

x - 18 = 2 (x - 2) (x - 3)

解

x - 18 = 2 (x - 2) (x - 3) : x = \frac{11}{4} + i \frac{119}{4}, x = \frac{11}{4} - i \frac{119}{4}

x = \frac{11}{4} + i \frac{119}{4}, x = \frac{11}{4} - i \frac{119}{4}

\frac{7}{( x - 1 )} = 9

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

5 + \frac{7}{x + 1} = x

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

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