SOLUTION: 4. Find the center and the radius of each circle. (Hint: In exercises 43 and 44 divide both sides by the GCM)- 2xsquared+2ysquared+20x+16y+10=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: 4. Find the center and the radius of each circle. (Hint: In exercises 43 and 44 divide both sides by the GCM)- 2xsquared+2ysquared+20x+16y+10=0      Log On


   

Question 860575: 4. Find the center and the radius of each circle. (Hint: In exercises 43 and 44 divide both sides by the GCM)- 2xsquared+2ysquared+20x+16y+10=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the caret ^ to denote exponentiation.
2x^2+2y^2+20x+16y+10=0
.
.
.
2x%5E2%2B2y%5E2%2B20x%2B16y%2B10=0
2x%5E2%2B2y%5E2%2B20x%2B16y%2B10=0
x%5E2%2B10x%2By%5E2%2B8y=-5
Complete the square in both x and y.
%28x%5E2%2B10x%2B25%29%2B%28y%5E2%2B8y%2B16%29=-5%2B25%2B16
%28x%2B5%29%5E2%2B%28y%2B4%29%5E2=36
Center : (-5,-4)
Radius : 6