Chapter 9 - Quadratic Functions and Equations - 9-5 Completing the Square - Practice and Problem-Solving Exercises - Page 565: 39

No solution

$m^2+4m+13=-8$ Compare it with the standard form of quadratic equation $ax^2+bx+c$, we have $a=1, b=4$ To complete the square, add $4$ on both sides. $m^2+4m+13+4=-8+4$ $(m+2)^2=-4-13$ $(m+2)^2=-17$ Thus, we get no solution.