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Last active May 21, 2022 19:13
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testtex.md

$$ F=P(1+\frac{i}{n})^{nt} $$

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changtimwu commented May 21, 2022

When $a \ne 0$, there are two solutions to $(ax^2 + bx + c = 0)$ and they are

$$ x = {-b \pm \sqrt{b^2-4ac} \over 2a} $$

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changtimwu commented May 21, 2022 •
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$$ (x+\frac{L}{\sqrt{P_b}})(y+\frac{L}{\sqrt{P_a}})=L^2 $$

$$ ILa,b(k) =\frac{V_1 - Vheld}{Vheld} =\frac{2L\sqrt{Pk} - L\sqrt{P}(1+k)}{L\sqrt{P}(1+k)-L(\sqrt{Pa} + \frac{Pk}{\sqrt{Pb} } )} =\frac{2\sqrt{k}-1-k}{1+k - \sqrt{\frac{Pa}{P}} - k\sqrt{\frac{P}{Pb}} } =IL(k)\Bigg(\frac{1}{ 1-\frac{ \sqrt{\frac{Pa}{P}}+k\sqrt{\frac{P}{Pb}} }{1+k}}\Bigg) $$

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