SOLUTION: I was trying to define the properties of the conic section of 225x^2 − 1800x + 64y^2 + 384y = −3776 and I completed the square to get to this stage 225(x-4)^2 + 64(y+3

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I was trying to define the properties of the conic section of 225x^2 − 1800x + 64y^2 + 384y = −3776 and I completed the square to get to this stage 225(x-4)^2 + 64(y+3      Log On


   



Question 627623: I was trying to define the properties of the conic section of 225x^2 − 1800x + 64y^2 + 384y = −3776
and I completed the square to get to this stage 225(x-4)^2 + 64(y+3)^2= 400. I divided by 400 to get it into the standard form of a ellipse but 225 and 64 aren't divisable by 400 evenly and I got decimals . I can't figure out how to put it into the standard form of an ellipse and then find the foci. my text book says the foci are 4,-3plus or minus 1\6√161 THANKS!

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
225%28x-4%29%5E2+%2B+64%28y%2B3%29%5E2+=+400 || Very good work!
+%28x-4%29%5E2%2F%28400%2F225%29+%2B+%284%2B3%29%5E2%2F%28400%2F64%29+=+1 || this is the Step You are looking for

foci(4, - 3 ± %281%2F6%29sqrt%28161%29)