What is the vertex of x^2+10x=-17
Writing this as a function: y = x2 + 10x + 17
Now: y - 17 = x2 + 10x
Completing the square:
y - 17 + 25 = x2 + 10x + 25
y + 8 = (x + 5)2
The vertex occurs at (-5, -8)