\(\frac{q+1}{9}+\frac{q+2}{8}-\frac{q+3}{7}-\frac{q+4}{6}=0\)
\(\Leftrightarrow\frac{q+1}{9}+1+\frac{q+2}{8}+1-\left(\frac{q+3}{7}+1\right)-\left(\frac{q+4}{6}+1\right)=0\)
\(\Leftrightarrow\frac{q+1}{9}+\frac{9}{9}+\frac{q+2}{8}+\frac{8}{8}-\left(\frac{q+3}{7}+\frac{7}{7}\right)-\left(\frac{q+4}{6}+\frac{6}{6}\right)=0\)
\(\Leftrightarrow\frac{q+10}{9}+\frac{q+10}{8}-\frac{q+10}{7}-\frac{q+10}{6}=0\)
\(\Leftrightarrow\left(q+10\right)\left(\frac{1}{9}+\frac{1}{8}-\frac{1}{7}-\frac{1}{6}\right)=0\)
\(\Leftrightarrow q+10=0\). Do \(\frac{1}{9}+\frac{1}{8}-\frac{1}{7}-\frac{1}{6}\ne0\)
\(\Leftrightarrow q=-10\)
bạn ra 10 là sai rồi nhé !
"00" ? Thế cứ cho là 0 nhé.
Quy đồng bỏ mẫu, mẫu chung là: 504
\(\Leftrightarrow56\left(q+1\right)+63\left(q+2\right)-72\left(q+3\right)-84\left(q+4\right)=0\)
\(\Leftrightarrow56q+56+63q+126-72q-216-84q-336=0\)
\(\Leftrightarrow-37q=0-56-126+216+336\)
\(\Leftrightarrow-37q=370\)
\(\Leftrightarrow q=-10\)
cách này thì mình biết rồi, bạn còn cách nào nhanh hơn ko
