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電子課本網(wǎng) 第67頁

第67頁

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??$\frac {5}{2}$??
解:??$5(a-2)-2a=0$??
??$5a-10-2a=0$??
??$a=\frac {10}{3}$??
檢驗(yàn):當(dāng)??$a=\frac {10}{3}$??時(shí),??$\frac {5}{a}-\frac {2}{a-2}≠0$??
∴??$a=\frac {10}3$??是方程的解
?$解:?2(4+x)+3(x-3)=0?$?
?$? x=\frac 15?$?
?$ 檢驗(yàn):當(dāng)?x=\frac 15?時(shí),?(x-3)(4+x)≠0?$?
?$ ∴?x=\frac 15?是方程的解$?
?$解:?\frac {x+1}{x+2}-\frac {x+2}{x+3}=\frac {x+5}{x+6}-\frac {x+6}{x+7}?$?
?$? \frac {(x+1)(x+3)-(x+2)^2}{(x+2)(x+3)}=\frac {(x+5)(x+7)-(x+6)^2}{(x+6)(x+7)}?$?
?$? \frac {-1}{(x+2)(x+3)}=\frac {-1}{(x+6)(x+7)}?$?
?$ ∴?(x+2)(x+3)=(x+6)(x+7),?化簡(jiǎn)得?5x+6=13x+42?$?
?$? x=-\frac 92?$?
?$ 經(jīng)檢驗(yàn),?x=-\frac 92?是原方程式的解$?
??$\frac {1}{6 ×7}=\frac {1}{6}-\frac {1}{7}$??
?$ \frac {1}{m(m+1)}=\frac {1}{m}-\frac {1}{m+1}$?
?$解:? \frac 1{x+1} -\frac 1{x+2}+\frac 1{x+2}-\frac 1{x+3}=\frac 1{x+3} ?$?
?$? \frac 1{x+1}-\frac 1{x+3}=\frac 1{x+3} ?$?
?$? x+3-(x+1)=x+1 ?$?
?$ 解得:? x=1 ?$?
?$ 經(jīng)檢驗(yàn),? x=1 ?是原方程的根$?