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== indeterminate equation == <div class="mw-collapsible mw-collapsed"><math>\scriptstyle x^2+5=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+5=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle x^2-10=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²-10=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle x^2+3x=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+3x=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle x^2-6x=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²-6x=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle x-x^2=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x-x²=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle x^2+10x+20=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+10x+20=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle x^2-8x-30=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²-8x-30=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle 8x+109-x^2=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: 8x+109-x²=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle 2x+49-x^2=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: 2x+49-x²=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle 10x-8-x^2=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: 10x-8-x²=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle 260-6x-x^2=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: 260-6x-x²=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\begin{cases}\scriptstyle x^2+x=n^2\\\scriptstyle x^2+2x=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+x=n²,x²+2x=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\begin{cases}\scriptstyle x^2+x=n^2\\\scriptstyle x^2+3x=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+x=n²,x²+3x=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\begin{cases}\scriptstyle x^2-2x=n^2\\\scriptstyle x^2-3x=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²-2x=n²,x²-3x=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\begin{cases}\scriptstyle x^2+x=n^2\\\scriptstyle x^2-x=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+x=n²,x²-x=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\begin{cases}\scriptstyle x^2+2x=n^2\\\scriptstyle x^2-3x=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+2x=n²,x²-3x=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle 3-x^2=n^2\\\scriptstyle 2+x^2=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: 3-x²=n²,2+x²=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle 10-x^2=n^2\\\scriptstyle 20+x^2=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: 10-x²=n²,20-x²=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle 20+x^2=n^2\\\scriptstyle 30+x^2=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: 20+x²=n²,30+x²=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle 10+x^2=n^2\\\scriptstyle 10-x^2=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: 10+x²=n²,10-x²=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\begin{cases}\scriptstyle x+x^2=n^2\\\scriptstyle x-x^2=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x+x²=n²,x-x²=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle 8x+x^2=n^2\\\scriptstyle 2x-x^2=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: 8x+x²=n²,2x-x²=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2+2x=n^2\\\scriptstyle x^2+2x+3\sqrt{x^2+2x}=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+2x=n²,x²+2x+3√(x²+2x)=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2+3x=n^2\\\scriptstyle x^2+3x+6\sqrt{x^2+3x}=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+3x=n²,x²+3x+6√(x²+3x)=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2+2x=n^2\\\scriptstyle x^2+2x+\sqrt{x^2+2x}=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+2x=n²,x²+2x+√(x²+2x)=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2+4x=n^2\\\scriptstyle x^2+4x+2\sqrt{x^2+4x}=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+4x=n²,x²+4x+2√(x²+4x)=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2-4x=n^2\\\scriptstyle x^2-4x+2\sqrt{x^2-4x}=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²-4x=n²,x²-4x-2√(x²-4x)=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2-5=n^2\\\scriptstyle x^2-5+\sqrt{x^2-5}=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²-5=n²,x²-5+√(x²-5)=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2-2x=n^2\\\scriptstyle x^2-2x+\sqrt{x^2-2x}=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²-2x=n²,x²-2x+√(x²-2x)=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2+x=n^2\\\scriptstyle x^2+1=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+x=n²,x²+1=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2+x+1=n^2\\\scriptstyle x^2+2x+2=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+x+1=n²,x²+2x+2=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2+4x=n^2\\\scriptstyle x^2-\left(2x+1\right)=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+4x=n²,x²-(2x+1)=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2+3x+1=n^2\\\scriptstyle x^2-\left(3x-2\right)=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+3x+1=n²,x²-(3x-2)=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2-\left(x-1\right)=n^2\\\scriptstyle x^2-\left(1-x\right)=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²-(x-1)=n²,x²-(1-x)=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"> <math>\scriptstyle\begin{cases}\scriptstyle x^2+\left(2-x\right)=n^2\\\scriptstyle x^2-\left(3-x\right)=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+(2-x)=n²,x²-(3-x)=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle x^2+y^2=n^2</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+y²=n²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\begin{cases}\scriptstyle x^2-y=n^2\\\scriptstyle x^2-1\frac{1}{2}y=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²-y=n²,x²-1½y=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\begin{cases}\scriptstyle 49+x=n^2\\\scriptstyle 49+2x=m^2\end{cases}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: 49+x=n²,49+2x=m²]] }}</div></div><br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle x^2+1=10x-8</math><div class="mw-collapsible-content"> {{#annotask: [[category: #indeterminate equation]] [[comment: x²+1=10x-8]] }}</div></div><br>
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