Find the equation of the circle, in standard conic form, that has a diameter with endpoints A(-6,-4) and B(3,5). Your answer should be reduced and contain no decimals.

Question

hero · Answer

$$(x + \frac{3}{2})^2 + (y - \frac{1}{2})^2 = \frac{81}{2}$$

anonymous · Answer

How did you get 40.5?

hero · Answer

I found the radius, then squared it

hero · Answer

but it says no decimals, so 81/2 instead

anonymous · Answer

Thanks. Got a couple more for you.

hero · Answer

I'm out. I have other obligations, sorry. Good luck

anonymous · Answer

Thanks for the help

hero · Answer

http://www.wolframalpha.com/input/?i=%28x+%2B+%5Cfrac%7B3%7D%7B2%7D%29%5E2+%2B+%28y+-+%5Cfrac%7B1%7D%7B2%7D%29%5E2+%3D+%5Cfrac%7B81%7D%7B2%7D

hero · Answer

I was posting it because you left off the .5

r^2 = 40.5

hero · Answer

You'll see that on wolfram alpha, the original points are on the circle

hero · Answer

$$\text{approximate} \ne \text{reduce}$$

hero · Answer

reduce hints to reduce a fraction

hero · Answer

The question doesn't explicitly say to express h,k in the form of a fraction, instead it "hints" at it by using the word "reduce".

hero · Answer

Nah, I'm fine with you handwriting...as long as it is your own work and not some silly program. Once again, it is good to see you making the effort to post your own original solutions.