document.write( "Question 435222: Write the equation of the conic below in standard form 16x^2 + 25y^2 - 96x - 200y = -144 \n" ); document.write( "

Algebra.Com's Answer #301278 by Gogonati(855) $\"\"$ $\"About$

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To get the standard form of the conic $\"16x%5E2%2B25y%5E2-96x-200y=-144\"$ , we make the below transformations:\r
\n" ); document.write( "\n" ); document.write( " $\"%284x%29%5E2-2%2A4%2A12x%2B144-144%2B%285y%29%5E2-2%2A5%2A20y%2B400-400=-144\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16%28x-3%29%5E2%2B25%28y-4%29%5E2=400\"$ , divide both sides by 400,\r
\n" ); document.write( "\n" ); document.write( " $\"%28x-3%29%5E2%2F25%2B%28y-4%29%5E2%2F16=1\"$ , the final equation represent an ellipse centered at\r
\n" ); document.write( "\n" ); document.write( "(3, 4), with major axis 10 and minor axis 8. \n" ); document.write( "

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