Question 388047
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{v\ +\ 1}{v\ +\ 3}\ =\ \frac{v\ -\ 6}{v\ -\ 1}\ +\ 1]


Apply LCD to the RHS:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{v\ +\ 1}{v\ +\ 3}\ =\ \frac{2v\ -\ 7}{v\ -\ 1}]


Cross-multiply and collect terms:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ v^2\ -\ 1\ =\ 2v^2\ -\ v\ -\ 21]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ v^2\ -\ v\ -\ 20\ =\ 0]


Solve the factorable quadratic.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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