Question 273159
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ \sqrt{(x_1\ -\ x_2)^2\ +\ (y_1\ -\ y_2)^2}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 5\ =\ \sqrt{(3\ -\ x)^2\ +\ (5\ -\ 8)^2}]


Square both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 25\ =\ (3\ -\ x)^2\ +\ (5\ -\ 8)^2]


Simplify:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 25\ =\ 9\ -\ 6x\ +\ x^2\ +\ 9]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ 6x\ -\ 7\ =\ 0]


Factor and solve the quadratic.  Both roots are valid solutions.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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