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I have these two equations, and cannot work out how to calculate the points of intersection (other than at $K=0$), yet my graphical calculator shows them to intersect three times. Thanks in advance.

$$5e^{-\frac{81K^{2}}{100}}+\frac{18K}{10}=5e^{-\frac{121K^{2}}{100}}+\frac{22K}{10}$$

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You might use Newton's method, for finding the roots of $f(x) = 5e^{-\frac{81x^{2}}{100}}+\frac{18x}{10}-5e^{-\frac{121x^{2}}{100}}-\frac{22x}{10}$

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