document.write( "Question 65805This question is from textbook An Incremental Development
\n" ); document.write( ": Solve\r
\n" ); document.write( "\n" ); document.write( "x^2 + y^2 = 25\r
\n" ); document.write( "\n" ); document.write( "x - y = 1 \n" ); document.write( "
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x^2 + y^2 = 25------------(1)
\n" ); document.write( "x - y = 1
\n" ); document.write( "==> x = y+1
\n" ); document.write( "Plugging in this value in (1),
\n" ); document.write( "(y+1)^2 + y^2 = 25
\n" ); document.write( "==> y^2 + 2y + 1 + y^2 = 25
\n" ); document.write( "==> 2y^2 + 2y + 1 - 25 = 0
\n" ); document.write( "==> 2y^2 + 2y - 24 = 0
\n" ); document.write( "==> y^2 + y - 12 = 0 [dividing by 2 throughout]
\n" ); document.write( "==> y^2 + 4y - 3y - 12 = 0
\n" ); document.write( "==> y(y+4) - 3(y+4) = 0
\n" ); document.write( "==> (y+4)(y-3) = 0
\n" ); document.write( "==> y+4 = 0 or y - 3 = 0
\n" ); document.write( "==> y = -4 or y = 3
\n" ); document.write( "==> x = -4+1 or x = 3+1
\n" ); document.write( "==> x = -3 or x = 4\r
\n" ); document.write( "\n" ); document.write( "Thus x = -3 and y = -4 and x = 4 and y = 3 are the two sets of solutions.\r
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\n" ); document.write( "\n" ); document.write( "Good luck!!!
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