SOLUTION: Write an equation of the circle equation in standard form. Find the center, radius, intercepts and graph the circle.
x^2+y^2+14x+18y=-81
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Question 879028: Write an equation of the circle equation in standard form. Find the center, radius, intercepts and graph the circle.
x^2+y^2+14x+18y=-81
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Complete the square on both x and y. Divide the first order term coefficient by 2 and then square the result. Add the result to both sides:
Factor each of the two perfect square trinomials:
^2\ +\ \left(y\ +\ 9\right)^2\ =\ 49)
Use the fact that the standard form equation of a circle centered at )
with radius 
is
^2\ +\ \left(y\ -\ k\right)^2\ =\ r^2)
and re-write your equation
\right)^2\ +\ \left(y\ -\ (-9)\right)^2\ =\ 7^2)
and read your center and radius directly.
John
My calculator said it, I believe it, that settles it
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