document.write( "Question 964853: X^2+y^2=5
\n" ); document.write( "Y=-x^2+3 \n" ); document.write( "

Algebra.Com's Answer #589713 by Fombitz(32388) $\"\"$ $\"About$

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From eq. 2,
\n" ); document.write( " $\"x%5E2=3-y\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"3-y%2By%5E2=5\"$
\n" ); document.write( " $\"y%5E2-y-2=0\"$
\n" ); document.write( " $\"%28y-2%29%28y%2B1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"y-2=0\"$
\n" ); document.write( " $\"y=2\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"x%5E2=3-2\"$
\n" ); document.write( " $\"x%5E2=1\"$
\n" ); document.write( " $\"x=0+%2B-+1\"$
\n" ); document.write( "(1,2) and (-1,2)
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\n" ); document.write( " $\"y%2B1=0\"$
\n" ); document.write( " $\"y=-1\"$
\n" ); document.write( " $\"-x%5E2%2B3=-1\"$
\n" ); document.write( " $\"-x%5E2=-4\"$
\n" ); document.write( " $\"x%5E2=4\"$
\n" ); document.write( " $\"x=0+%2B-+2\"$
\n" ); document.write( "(2,-1) and (2,1)
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\n" ); document.write( ".
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