\(\frac{a+5}{a-5}=\frac{b+6}{b-6}\Leftrightarrow\left(a+5\right).\left(b-6\right)=\left(a-5\right).\left(b+6\right)\)
\(\Rightarrow ab-6a+5b-30=ab+6a-5b-30\)
\(\Rightarrow-6a+5b=6a-5b\Rightarrow-6a+10b=6a\Rightarrow10b=12a\Rightarrow\frac{a}{b}=\frac{10}{12}=\frac{5}{6}\left(đpcm\right)\)
Cho \(\frac{a+5}{a-5}=\frac{b+6}{b-6}\)(a\(\ne\)5;b\(\ne\)6). Chứng minh rằng \(\frac{a}{b}=\frac{5}{6}\)
Bài 1: Cho \(\frac{a+5}{a-5}=\frac{b+6}{b-6}\) (a \(\ne\) 5; b \(\ne\) 6).
Chứng minh: \(\frac{a}{b}=\frac{5}{6}\).
Bài 2: Cho \(\frac{a+b}{a-b}=\frac{a+c}{a-c}\). Chứng minh a2 = bc.
cho \(\frac{a+5}{a-5}\) = \(\frac{b+6}{b-6}\) (a \(\ne\)5, b \(\ne\)6). chứng minh \(\frac{a}{b}\) = \(\frac{5}{6}\) ( bằng 2 cách )
cho \(\frac{a+5}{a-5}=\frac{b+6}{b-6}\) . CHỨNG MINH RẰNG \(\frac{a}{b}=\frac{5}{6}\)
59. Cho \(\frac{a+5}{a-5}=\frac{b+6}{b-6}\left(a\ne5;b\ne6\right)\). Chứng minh rằng \(\frac{a}{b}=\frac{5}{6}\)
Cho \(\frac{a+5}{a-5}=\frac{b+6}{b-6}\left(a\ne5;b\ne6\right).\)Chứng minh rằng \(\frac{a}{b}=\frac{5}{6}\)
Cho \(\frac{a+5}{a-5}=\frac{b+6}{b-6}(a\ne5;b\ne6)\)
Chứng minh rằng \(\frac{a}{b}=\frac{5}{6}\)
Cho \(\frac{a+5}{a-5}=\frac{b+6}{b-6}\left(a\ne5;b\ne6\right)\) Chứng minh rằng \(\frac{a}{b}=\frac{5}{6}\)
Cho \(\frac{a+5}{a-5}=\frac{b+6}{b-6}\) chứng minh \(\frac{a}{b}=\frac{5}{6}\)
