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\(\frac{5}{6}+6\frac{1}{6}.\left(11\frac{94}{1591}-6\frac{38}{1951}\right):8\frac{11}{43}\)
= \(\frac{5}{6}+\frac{37}{6}.\frac{8011}{1591}:8\frac{11}{43}\)
= \(\frac{5}{6}+\frac{8011}{258}:\frac{355}{43}\)
= \(\frac{5}{6}+\frac{344473}{91590}\)
= \(\frac{1631}{355}\)
\(8\frac{1}{5}\)X \(\left(11\frac{94}{1592}-6\frac{38}{1517}\right):8\frac{11}{43}\)
= \(\frac{41}{5}\)X \(\left(\frac{17606}{1592}-\frac{9140}{1517}\right):\frac{355}{43}\)
= \(\frac{41}{5}\)X \(\left(\frac{26708302}{2415064}-\frac{14550880}{2415064}\right):\frac{355}{43}\)
= \(\frac{41}{5}\)X \(\frac{12157422}{2415064}:\frac{355}{43}\)
= \(\frac{49845430200000006}{12075320}:\frac{355}{43}\)
= \(\frac{5358383746500001}{1071684650}\)
Đặt \(\hept{\begin{cases}\sqrt[3]{65+x}=a\\\sqrt[3]{65-x}=b\end{cases}}\)
\(\Rightarrow a^2+4b^2=5ab\)
\(\Leftrightarrow\left(b-a\right)\left(4b-a\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}a=b\\a=4b\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}\sqrt[3]{65+x}=\sqrt[3]{65-x}\\\sqrt[3]{65+x}=4\sqrt[3]{65-x}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}65+x=65-x\\65+x=4\left(65-x\right)\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=39\end{cases}}\)
\(8\frac{1}{5}.\left(11\frac{94}{1591}-6\frac{38}{1517}\right):8\frac{11}{43}\\ =8\frac{1}{5}.5\frac{60}{1763}:8\frac{11}{43}\\ =41\frac{12}{43}:8\frac{11}{43}\\ =5\)
\(N=8\dfrac{1}{5}\left(11\dfrac{94}{1591}-6\dfrac{38}{1517}\right):8\dfrac{11}{43}\)
\(N=\dfrac{41}{5}\left(\dfrac{17595}{1591}-\dfrac{9140}{1517}\right):\dfrac{355}{43}\)
\(N=\dfrac{41}{5}.\dfrac{8875}{1763}:\dfrac{355}{43}\)
\(N=\dfrac{1775}{43}:\dfrac{355}{43}\)
\(N=5.\)
X:3+65=1591
X:3= 1591- 65
x:3 = 1526
x=1526 x 3
x=4578
X : 3 + 65 = (1526 - 65) :3
= 1526 :3
= 508 dư 2