Answer
No solution
Work Step by Step
$s^2+5s=-11$
Compare it with the standard form of quadratic equation $ax^2+bx+c$, we have $a=1, b=5$
To complete the square, add $\frac{25}{4}$ on both sides.
$s^2+5s+\frac{25}{4}=-11+\frac{25}{4}$
Thus, we get no solution.