Question
Convert each general equation to standard form.
144X^2-25Y^2+864X-100Y-2404=0
Y^2-4X^2-12Y-16X+16=0
144X^2-25Y^2+864X-100Y-2404=0
Y^2-4X^2-12Y-16X+16=0
Answers
Reiny
I will do the hard one, you do the easy one
144x^2 + 864x + .... - (25y^2 + 100y + ...) =2404
144(x^2 + 6x + ....) - 25(y^2 + 4y + ...) = 2404
144(x^2 + 6x + <b>9</b>) - 25(y^2 + 4y + <b>4</b>) = 2404 + <b>1296</b> - <b>100</b>
144(x+3)2 - 25(y+2)^2 = 3600
divide each term by 3600
(x+3)^2 /25 - (y+2)^2 /144 = 1
do the 2nd one the same way
144x^2 + 864x + .... - (25y^2 + 100y + ...) =2404
144(x^2 + 6x + ....) - 25(y^2 + 4y + ...) = 2404
144(x^2 + 6x + <b>9</b>) - 25(y^2 + 4y + <b>4</b>) = 2404 + <b>1296</b> - <b>100</b>
144(x+3)2 - 25(y+2)^2 = 3600
divide each term by 3600
(x+3)^2 /25 - (y+2)^2 /144 = 1
do the 2nd one the same way
Anonymous
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