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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

hard

$x^2+5x=37$

The solutions to the given equation are $\frac{m+\sqrt{q}}{2}$ and $\frac{m-\sqrt{q}}{2}$, where $m$ and $q$ are integers. What is the value of $m+q$?

1

168