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

Algebra ->  Coordinate-system -> 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      Log On


   

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) About Me  (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:



Use the fact that the standard form equation of a circle centered at with radius is



and re-write your equation



and read your center and radius directly.

John

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