document.write( "Question 835945: Can you help me find the intersection points for the ellipse x^2 + y^2/4 =1 and the circle x^2 + y^2 =4 \n" ); document.write( "

Algebra.Com's Answer #503834 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"x%5E2+%2B+y%5E2%2F4+=1\"$
\n" ); document.write( "2. $\"+x%5E2+%2B+y%5E2+=4\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"x%5E2=1-y%5E2%2F4\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"%281-y%5E2%2F4%29%2By%5E2=4\"$
\n" ); document.write( " $\"1%2B%283%2F4%29y%5E2=4\"$
\n" ); document.write( " $\"%283%2F4%29y%5E2=3\"$
\n" ); document.write( " $\"y%5E2=4\"$
\n" ); document.write( " $\"y=0+%2B-+2\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"x%5E2=1-y%5E2%2F4\"$
\n" ); document.write( " $\"x%5E2=1-1\"$
\n" ); document.write( " $\"x=0\"$
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