document.write( "Question 746034: Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
\n" ); document.write( "3x^2-5y^2=-68
\n" ); document.write( "5x^2=3y^2=68\r
\n" ); document.write( "\n" ); document.write( "please and thank you! :D \n" ); document.write( "
Algebra.Com's Answer #454184 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Assume the problem is:
\n" ); document.write( "3x^2 - 5y^2 = -68
\n" ); document.write( "5x^2 + 3y^2 = 68
\n" ); document.write( ":
\n" ); document.write( "multiply the 1st equation by 3, mult the 2nd eq by 5
\n" ); document.write( "9x^2 - 15y^2 = -204
\n" ); document.write( "25x^2 + 15y^2 = 340
\n" ); document.write( "--------------------addition eliminates y^2
\n" ); document.write( "34x^2 = 136
\n" ); document.write( "x^2 = 136/34
\n" ); document.write( "x^2 = 4
\n" ); document.write( "x = +/-\"sqrt%284%29\"
\n" ); document.write( "x = +/-2
\n" ); document.write( ":
\n" ); document.write( "Find y
\n" ); document.write( "5(2^2) + 3y^2 = 68
\n" ); document.write( "3y^2 = 68 - 20
\n" ); document.write( "3y^2 = 48
\n" ); document.write( "y^2 = 48/3
\n" ); document.write( "y^2 = 16
\n" ); document.write( "y = +/-4
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 1st original equation
\n" ); document.write( "3(2^2) - 5(4^2) = -68
\n" ); document.write( "12 - 80 = -68 \n" ); document.write( "
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