SOLUTION: What is the standard form of the equation {{{ 25x^2+y^2+100x-2y+76=0 }}}?

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Question 933209: What is the standard form of the equation +25x%5E2%2By%5E2%2B100x-2y%2B76=0+?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the Squares for the x and the y and then look for your available trinomials to factorize.


25%28x%5E2%2B4x%29%2By%5E2-2y=-76
The term for x is 4 and the term for y is 1; you should learn why, from your book or my lessons.
25%28x%5E2%2B4x%2B4%29%2By%5E2-2y%2B1=-76%2B4%2A25%2B1
25%28x%2B2%29%5E2%2B%28y-1%29%5E2=100-75
25%28x%2B2%29%5E2%2B%28y-1%29%5E2=25

highlight%28%28x%2B2%29%5E2%2B%28y-1%29%5E2%2F25=1%29, Ellipse equation in standard form.