The solutions to the given equation $x^2+5x=47$ are $\frac{m+\sqrt{q}…

Question

Prompt

The solutions to the given equation

x^{2} + 5 x = 47

are

\frac{m + q}{2}

and

\frac{m - q}{2}

, where m and q are integers. What is the value of

m + q