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\documentclass{article} | |
\usepackage[utf8]{inputenc} | |
\usepackage{amsmath} | |
\usepackage{multirow} | |
\usepackage{xcolor} | |
\usepackage{xcolor} | |
\definecolor{blue}{RGB}{54,151,220} | |
\definecolor{lime}{RGB}{45,204,113} | |
\definecolor{orange}{RGB}{231,128,33} | |
\title{Computing the meme, \textit{LITERALLY}} | |
\author{bruhs\#7404} | |
\date{November 2022} | |
\begin{document} | |
\maketitle | |
$$ | |
\begin{array}{l}x+x+x=30 \\ | |
x+y+y=20 \\ | |
y+z+z=9 \\\\ | |
\text{Equations Simplified:} \\ | |
\textcolor{blue}{3x}=30 \\ | |
\textcolor{blue}{x}\textcolor{lime}{\ +2y}=20 \\ | |
\textcolor{blue}{y}\textcolor{orange}{\ +2z}=9 \\\\ | |
\text{Solving by Substitution:} \\ | |
\textcolor{blue}{3x= }\ 30 \\ | |
\textcolor{blue}{x= }\ 10 \\ | |
\left(10\right)\textcolor{lime}{+2y} =20 \\ | |
\textcolor{lime}{2y }\ =10 \\ | |
\textcolor{lime}{y= }\ 5 \\ | |
\left(5\right)\textcolor{orange}{+2z} =9 \\ | |
\textcolor{orange}{2z= }\ 4 \\ | |
\textcolor{orange}{z= }\ 2 \\ | |
\left\{\textcolor{blue}{x},\ \textcolor{lime}{y},\ \textcolor{orange}{z}\right\}=\left\{\textcolor{blue}{10},\ \textcolor{lime}{5},\ \textcolor{orange}{2}\right\} \\ \\ | |
x\ \frac{y^y}{z}\times\left(\frac{z\left(z\times-y\right)^y}{y\times y\left(z\right)}\times\frac{x}{z}\right)\times\frac{\left(x^z\times y\right)}{z}+z\left(y-\left(-y\right)\right)\times\left(\frac{y}{x}+\frac{z}{z}\right)^y-\left(z\times y\right)=? \\ | |
1\ \frac{5^5}{2}\times\left(\frac{2\left(2\times-5\right)^5}{5\times5\left(2\right)}\times\frac{10}{2}\right)\times\frac{\left(10^2\times5\right)}{2}+2\left(5-\left(-5\right)\right)\times\left(\frac{5}{10}+\frac{2}{2}\right)^5-\left(2\times5\right)=? \\ | |
\\ | |
\text{Simplify,}\end{array} | |
$$$$ | |
\frac{5^{5}}{2} \cdot\left(\frac{2(2 \cdot-5)^{5}}{5 \cdot 5(2)} \cdot \frac{10}{2}\right) \cdot \frac{\left(10^{2} \cdot 5\right)}{2}+2(5-(-5)) \cdot\left(\frac{5}{10}+\frac{2}{2}\right)^{5}-(2 \cdot 5) \\ | |
$$ | |
$$ | |
\begin{array}{l}\text{Divide 2 by 2 to get 1 .} \\ | |
\frac{5^{5}}{2} \times\left(\frac{2 \times(2(-5))^{5}}{5 \times 5 \times 2}\right) \times\left(\frac{10}{2}\right) \times\left(\frac{10^{2} \times 5}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5\end{array} \\ | |
$$ | |
$$ | |
\begin{array}{l}\text{Calculate 5 to the power of 5 and get 3125 .} \\ | |
\frac{3125}{2} \times\left(\frac{2 \times(2(-5))^{5}}{5 \times 5 \times 2}\right) \times\left(\frac{10}{2}\right) \times\left(\frac{10^{2} \times 5}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text{Cancel out 2 in both numerator and denominator.}\end{array} | |
$$ | |
$$ | |
\begin{array}{l}\frac{3125}{2} \times\left(\frac{(-5 \times 2)^{5}}{5 \times 5}\right) \times\left(\frac{10}{2}\right) \times\left(\frac{10^{2} \times 5}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text { Multiply }-5 \text { and } 2 \text { to get }-10 \text {. } \\ | |
\frac{3125}{2} \times\left(\frac{(-10)^{5}}{5 \times 5}\right) \times\left(\frac{10}{2}\right) \times\left(\frac{10^{2} \times 5}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text { Calculate }-10 \text { to the power of } 5 \text { and get }-100000 \\ | |
\frac{3125}{2} \times\left(\frac{-100000}{5 \times 5}\right) \times\left(\frac{10}{2}\right) \times\left(\frac{10^{2} \times 5}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text{Multiply 5 and 5 to get 25 .} \\ | |
\frac{3125}{2} \times\left(\frac{-100000}{25}\right) \times\left(\frac{10}{2}\right) \times\left(\frac{10^{2} \times 5}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text{Divide } -100000 \text{ by 25 to get } -4000 \text{.}\end{array} | |
$$ | |
$$ | |
\begin{array}{l}\frac{3125}{2}(-4000) \times\left(\frac{10}{2}\right) \times\left(\frac{10^{2} \times 5}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text { Multiply } \frac{3125}{2} \text { and }-4000 \text { to get }-6250000 \\ | |
-6250000 \times\left(\frac{10}{2}\right) \times\left(\frac{10^{2} \times 5}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text{Divide 10 by 2 to get 5 .} \\ | |
-6250000 \times 5 \times\left(\frac{10^{2} \times 5}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text{Multiply } -6250000 \text{ and 5 to get } -31250000 \text{.} \\ | |
-31250000 \times\left(\frac{10^{2} \times 5}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text{Calculate 10 to the power of 2 and get 100 .} \\ | |
-31250000 \times\left(\frac{100 \times 5}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5\end{array} \\ | |
$$ | |
$$ | |
\begin{array}{l}\text{Multiply 100 and 5 to get 500 .} \\ | |
-31250000 \times\left(\frac{500}{2}\right)+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times \\ \\ | |
\text{Divide 500 by 2 to get 250 .} \\ | |
-31250000 \times 250+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text{Multiply } -31250000 \text{ and 250 to get } -7812500000 \text{.} \\ | |
-7812500000+2(5-(-5))\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text{The opposite of } -5 \text{ is 5 .} \\ | |
-7812500000+2(5+5)\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text{Add 5 and 5 to get 10 .} \\ | |
-7812500000+2 \times 10\left(\frac{5}{10}+1\right)^{5}-2 \times 5\end{array} \\ | |
$$ | |
$$ | |
\begin{array}{l}\text{Multiply 2 and 10 to get 20 .} \\ | |
-7812500000+20\left(\frac{5}{10}+1\right)^{5}-2 \times 5 \\ \\ | |
\text{Reduce the fraction } \frac{5}{10} \text{ to lowest terms by extracting and canceling out 5 .} \\ | |
-7812500000+20\left(\frac{1}{2}+1\right)^{5}-2 \times 5 \\ \\ | |
\text{Add } \frac{1}{2} \text{ and 1 to get } \frac{3}{2} \text{.} \\ | |
-7812500000+20 \times\left(\frac{3}{2}\right)^{5}-2 \times 5 \\ \\ | |
\text{Calculate } \frac{3}{2} \text{ to the power of 5 and get } \frac{243}{32} \text{.} \\ | |
-7812500000+20 \times\left(\frac{243}{32}\right)-2 \times 5 \\ \\ | |
\text{Multiply 20 and } \frac{243}{32} \text{ to get } \frac{1215}{8} \text{.} \\ | |
-7812500000+\frac{1215}{8}-2 \times 5\end{array}\\ | |
$$ | |
$$ | |
\begin{array}{l}\text { Add }-7812500000 \text { and } \frac{1215}{8} \text { to get }-\frac{62499998785}{8} . \\ | |
-\frac{62499998785}{8}-2 \times 5 \\ \\ | |
\text { Multiply } 2 \text { and } 5 \text { to get } 10 \\ \\ | |
-\frac{62499998785}{8}-10 \\ \\ | |
\text { Subtract } 10 \text { from }-\frac{62499998785}{8} \text { to get }-\frac{62499998865}{8} \\ \\ | |
-\frac{62499998865}{8} \\ \\ | |
\text{ Factor } \\ \\ | |
\frac{(-1) \cdot 3 \cdot 5 \cdot 23 \cdot 109 \cdot 1662013}{2^{3}}=-7812499858.125\end{array} | |
$$ | |
\end{document} |
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