document.write( "Question 1031015: X squared + y squared = 4
\n" ); document.write( "Y minus X = 1\r
\n" ); document.write( "\n" ); document.write( "We have to solve the system it says... But my teacher says that all we have to solve for is X and Y because it's a longer problem.
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Algebra.Com's Answer #645747 by fractalier(6550)\"\" \"About 
You can put this solution on YOUR website!
Yes, from
\n" ); document.write( "\"x%5E2+%2B+y%5E2+=+4\" and \"y+-+x+=+1\"
\n" ); document.write( "we solve the second one and substitute into the first one...we get
\n" ); document.write( "y = x + 1 and then
\n" ); document.write( "x^2 + (x+1)^2 = 4
\n" ); document.write( "x^2 + x^2 + 2x + 1 = 4
\n" ); document.write( "2x^2 + 2x - 3 = 0
\n" ); document.write( "This cannot be factored so we use the quadratic formula...
\n" ); document.write( "x = (-2 + sqrt(4 + 24))/4 = (-2 + sqrt(28))/4 = (-1 + sqrt(7))/2
\n" ); document.write( "and
\n" ); document.write( "x = (-2 - sqrt(4 + 24))/4 = (-2 - sqrt(28))/4 = (-1 - sqrt(7))/2
\n" ); document.write( "Plug in and solve for y, as in y = x + 1...
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