document.write( "Question 871196: How can solve an equation when x, and y are squared?: x squared + y squared=25
\n" ); document.write( " x =y squared-5 \n" ); document.write( "

Algebra.Com's Answer #525363 by Fombitz(32388) $\"\"$ $\"About$

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This is the intersection of a circle and a sideways parabola.
\n" ); document.write( "1. $\"x%5E2%2By%5E2=25\"$
\n" ); document.write( " $\"x=y%5E2-5\"$
\n" ); document.write( "2. $\"y%5E2=x%2B5\"$
\n" ); document.write( "Substitute eq. 2 into eq. 1,
\n" ); document.write( " $\"x%5E2%2Bx%2B5=25\"$
\n" ); document.write( " $\"x%5E2%2Bx-20=0\"$
\n" ); document.write( " $\"%28x%2B5%29%28x-4%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x%2B5=0\"$
\n" ); document.write( " $\"x=-5\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y%5E2=-5%2B5\"$
\n" ); document.write( " $\"y%5E2=0\"$
\n" ); document.write( " $\"y=0\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x-4=0\"$
\n" ); document.write( " $\"x=4\"$
\n" ); document.write( " $\"y%5E2=4%2B5\"$
\n" ); document.write( " $\"y%5E2=9\"$
\n" ); document.write( " $\"y=0+%2B-+3\"$
\n" ); document.write( "So the points of intersection are (-5,0),(4,-3),and (4,3).
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