document.write( "Question 249220: find all(x,y) that satisfy x²+3y²= 52 and x²= 3y+16. \n" ); document.write( "

Algebra.Com's Answer #181558 by Alan3354(69443) $\"\"$ $\"About$

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Sub for x^2 into 1st eqn
\n" ); document.write( " $\"3y%2B16+%2B+3y%5E2+=+52\"$
\n" ); document.write( " $\"3y%5E2+%2B+3y+-+36+=+0\"$
\n" ); document.write( " $\"y%5E2+%2B+y+-+12+=+0\"$
\n" ); document.write( "(y+4)*(y-3) = 0
\n" ); document.write( "y = -4
\n" ); document.write( "y = 3
\n" ); document.write( "-----
\n" ); document.write( "y = -4, x = ±2
\n" ); document.write( "y = 3, x = ±5
\n" ); document.write( " \n" ); document.write( "

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