11.(x-9)=77
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\(\dfrac{x-9}{55}+\dfrac{x-10}{66}=\dfrac{x-11}{77}+\dfrac{x-12}{88}\\ \Leftrightarrow\left(\dfrac{x-9}{55}+\dfrac{1}{11}\right)+\left(\dfrac{x-10}{66}+\dfrac{1}{11}\right)-\left(\dfrac{x-11}{77}+\dfrac{1}{11}\right)-\left(\dfrac{x-12}{88}+\dfrac{1}{11}\right)=0\)
\(\Leftrightarrow\left(\dfrac{x-9}{55}+\dfrac{5}{55}\right)+\left(\dfrac{x-10}{66}+\dfrac{6}{66}\right)-\left(\dfrac{x-11}{77}+\dfrac{7}{77}\right)-\left(\dfrac{x-12}{88}+\dfrac{8}{88}\right)=0\)
\(\Leftrightarrow\dfrac{x-4}{55}+\dfrac{x-4}{66}-\dfrac{x-4}{77}-\dfrac{x-4}{88}=0\)
\(\Leftrightarrow\left(x-4\right)\left(\dfrac{1}{55}+\dfrac{1}{66}-\dfrac{1}{77}-\dfrac{1}{88}\right)=0\\ \Leftrightarrow x=4\left(vì.\dfrac{1}{55}+\dfrac{1}{66}-\dfrac{1}{77}-\dfrac{1}{88}\ne0\right)\)
x^77+x^55+x^33+x^11+9=x^55(x^22+1)+x^11(x^22+)+x+9. phan h thanh hang dang thuc, ta thay hang dang thuc trong ngoac chia het cho x^2+1 nen du la x+9
<=> \(\frac{-11}{9}\)X = 49 x \(\frac{3}{77}\)
<=> \(\frac{-11}{9}\)X = \(\frac{147}{77}\)
<=> X = \(\frac{-189}{121}\)
x + (-23 ) = -100 + 77
x + ( -23 ) = -23
x = -23 - ( -23 )
x = -23 + 23
x = 0
( -15 ) + x = ( -14 ) - ( -57 )
( -15 ) + x = 43
x = 43 - ( -15 )
x = 43 + 15
x = 58
Mấy câu còn lại cũng dễ bn tự làm nha! Bye bye
\(x+\left(-23\right)=-100+77\)
\(\Leftrightarrow x-23=-23\)
\(\Leftrightarrow x=-23+23\)
\(\Leftrightarrow x=0\)
\(-15+x=-14-\left(-57\right)\)
\(\Leftrightarrow-15+x=43\)
\(\Leftrightarrow x=43+15\)
\(\Leftrightarrow x=48\)
\(11-\left(15+11\right)=x-\left(25-9\right)\)
\(\Leftrightarrow11-26=x-16\)
\(\Leftrightarrow x-16=15\)
\(\Leftrightarrow x=-15+16\)
\(\Leftrightarrow x=1\)
\(x-\left(17-x\right)=x-7\)
\(\Leftrightarrow x-17+x=x-7\)
\(\Leftrightarrow2x+17=x-7\)
\(\Leftrightarrow x-2x=7-17\)
\(\Leftrightarrow-x=-10\)
\(\Leftrightarrow x=10\)
\(\left(-12\right)^{2x}=56+10.13x\)
\(\Leftrightarrow144^x=56+10.13x\)
\(\dfrac{2}{7\times9}+\dfrac{2}{9\times11}+\dfrac{2}{11\times13}+...+\dfrac{2}{75\times77}\)
\(=\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{13}+...+\dfrac{1}{75}-\dfrac{1}{77}\)
\(=\dfrac{1}{7}-\dfrac{1}{77}\)
\(=\dfrac{11}{77}-\dfrac{1}{77}\)
\(=\dfrac{10}{77}\)
\(\dfrac{2}{7x9}+\dfrac{2}{9x11}+\dfrac{2}{11x13}+...+\dfrac{2}{75x77}\)
= \(\dfrac{9-7}{7x9}+\dfrac{11-9}{9x11}+\dfrac{13-11}{11x13}+...+\dfrac{77-75}{75x77}\)
= \(\dfrac{9}{7x9}-\dfrac{7}{7x9}+\dfrac{11}{9x11}-\dfrac{9}{9x11}+\dfrac{13}{11x13}-\dfrac{11}{11x13}+...+\dfrac{77}{75x77}-\dfrac{75}{75x77}\)
=\(\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{13}+...+\dfrac{1}{75}-\dfrac{1}{77}\)
=\(\dfrac{1}{7}-\dfrac{1}{77}=\dfrac{11}{77}-\dfrac{1}{77}=\dfrac{10}{77}\)
\(=>x-9=77:11\\ =>x-9=7\\ =>x=7+9\\ =>x=16\)
\(11\cdot\left(x-9\right)=77\\ \left(x-9\right)=77:11\\ \left(x-9\right)=7\\ x=7+9\\ x=16\)