SOLUTION: Find the area of the region included between the circle: x2 + y2 + 2 x + 10y + 27 = 0 and the parabola y2 + 10y – x + 23 = 0

Algebra ->  Circles -> SOLUTION: Find the area of the region included between the circle: x2 + y2 + 2 x + 10y + 27 = 0 and the parabola y2 + 10y – x + 23 = 0       Log On


   



Question 349647: Find the area of the region included between the circle:
x2 + y2 + 2 x + 10y + 27 = 0
and the parabola
y2 + 10y – x + 23 = 0

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Check the equation of the circle.
Completing the square in x and y leads to a negative radius.
x%5E2+%2B+++y%5E2+%2B+2+x+%2B+10y+%2B+27+=+0
%28x%5E2%2B2x%2B1%29%2B%28y%5E2%2B10y%2B25%29%2B27=1%2B25
%28x%2B1%29%5E2%2B%28y%2B5%29%5E2=-1