x=66 nhé bn mk với
học tốt nhé ! nhớ kb
\(\frac{x+1}{65}+\frac{x+3}{63}=\frac{x+5}{61}+\frac{x+7}{59}\)
\(\Leftrightarrow\frac{63\left(x+1\right)}{65\times63}+\frac{65\left(x+3\right)}{63\times65}=\frac{59\left(x+5\right)}{61\times59}+\frac{61\left(x+7\right)}{59\times61}\)
\(\Leftrightarrow\frac{63x+63}{4095}+\frac{65x+65\times3}{4095}=\frac{59x+59\times5}{3599}+\frac{61x+61\times7}{3599}\)
\(\Leftrightarrow\frac{63x+63}{4095}+\frac{65x+195}{4095}=\frac{59x+295}{3599}+\frac{61x+427}{3599}\)
\(\Leftrightarrow\frac{63x+63+65x+195}{4095}=\frac{59x+295+61x+427}{3599}\)
\(\Leftrightarrow\frac{128x+258}{4095}=\frac{120x+722}{3599}\)
\(\Leftrightarrow3599\left(128x+258\right)=4095\left(120x+722\right)\)
\(\Leftrightarrow460672x+928542=491400x+2956590\)
\(\Leftrightarrow-2028048=30728x\)
\(\Leftrightarrow x=\frac{-2028048}{30728}\)
\(\Leftrightarrow x=-66\)
\(\text{Vậy }x=-66\)
Ta có: \(\frac{x+1}{65}+\frac{x+3}{63}=\frac{x+5}{61}+\frac{x+7}{59}\)
\(\Rightarrow\left(\frac{x+1}{65}+1\right)+\left(\frac{x+3}{63}+1\right)=\left(\frac{x+5}{61}+1\right)+\left(\frac{x+7}{59}\right)\)
\(\Rightarrow\frac{x+66}{65}+\frac{x+66}{63}=\frac{x+66}{61}+\frac{x+66}{59}\)
\(\Rightarrow\frac{x+66}{65}+\frac{x+66}{63}-\frac{x+66}{61}-\frac{x+66}{59}=0\)
\(\Rightarrow\left(x+66\right).\left(\frac{1}{65}+\frac{1}{63}-\frac{1}{61}-\frac{1}{59}\right)=0\)
\(\Rightarrow x+66=0\)( vì \(\Rightarrow\frac{1}{65}+\frac{1}{63}-\frac{1}{61}-\frac{1}{59}\ne0\))
\(\Rightarrow x=-66\)
Vậy x= -66
\(\frac{x+1}{65}+\frac{x+3}{63}=\frac{x+5}{61}+\frac{x+7}{59}\)
\(\Rightarrow\frac{x+1}{65}+1+\frac{x+3}{63}+1=\frac{x+5}{61}+1+\frac{x+7}{59}+1\)
\(\Rightarrow\frac{x+66}{65}+\frac{x+66}{63}=\frac{x+66}{61}+\frac{x+66}{59}\)
\(\Rightarrow\frac{x+66}{65}+\frac{x+66}{63}-\frac{x+66}{61}-\frac{x+66}{59}=0\)
\(\Rightarrow\left(x+66\right)\left(\frac{1}{65}+\frac{1}{63}-\frac{1}{61}-\frac{1}{59}\right)=0\)
Vì \(\frac{1}{65}+\frac{1}{63}-\frac{1}{61}-\frac{1}{59}\ne0\)
\(\Rightarrow x+66=0\)
\(\Rightarrow x=-66\)
Vậy \(x=-66\)
X= -66 đúng rồi
