SOLUTION: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. 𝑥2+𝑦2−8𝑥+14𝑦+65=36

Algebra ->  College  -> Linear Algebra -> SOLUTION: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. 𝑥2+𝑦2−8𝑥+14𝑦+65=36      Log On


   

Question 744963: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle.
𝑥2+𝑦2−8𝑥+14𝑦+65=36
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2By%5E2-8x%2B14y%2B65=36
x%5E2-8x%2By%5E2%2B14y%2B65=36
Completing the square for x needs 16 and for y needs 49.
%28x%5E2-8x%2B16%29%2B%28y%5E2%2B14y%2B49%29%2B65=36%2B16%2B49
%28x-4%29%5E2%2B%28y%2B7%29%5E2%2B65=101
%28x-4%29%5E2%2B%28y%2B7%29%5E2=36
highlight%28%28x-4%29%5E2%2B%28y%2B7%29%5E2=6%5E2%29

Center is (4,-7) and radius is 6.