document.write( "Question 307594: how do you put x^2+25y^2=25? Thanks for the help. \n" ); document.write( "

Algebra.Com's Answer #220034 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
This looks suspiciously like an ellipse!
\n" ); document.write( "The standard form of the equation of an ellipse with center @ (0,0) and major axis on the x-axis is:
\n" ); document.write( " $\"x%5E2%2Fa%5E2+%2B+y%5E2%2Fb%5E2+=+1\"$
\n" ); document.write( "Your equation is:
\n" ); document.write( " $\"x%5E2%2B25y%5E2+=+25\"$ If you divide both sides by 25, you'll get...
\n" ); document.write( " $\"x%5E2%2F25+%2B+y%5E2+=+1\"$ which can be rewritten as...
\n" ); document.write( " $\"x%5E2%2F5%5E2+%2B+y%5E2%2F1%5E2+=+1\"$ Compare this with the standard form:
\n" ); document.write( " $\"x%5E2%2Fa%5E2+%2B+y%5E2%2Fb%5E2+=+1\"$ and you'll see that a = 5 and b = 1, so you have the equation of an ellipse with center @ (0,0), semi-major axis = 5 and semi-minor axis = 1. \n" ); document.write( "

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