document.write( "Question 30148: Question:
\n" );
document.write( "Solve the system: x^2+y^2=4
\n" );
document.write( " x+y=2\r
\n" );
document.write( "\n" );
document.write( "Possible solutions:
\n" );
document.write( "(a) [{2,-2), (-2,-2)]
\n" );
document.write( "(b) [{0,-2), (-2,0)]
\n" );
document.write( "(c) [(0,2), (2,0)]
\n" );
document.write( "(d) [(0,0), (2,-2)]\r
\n" );
document.write( "\n" );
document.write( "Please help thanks! \n" );
document.write( "
Algebra.Com's Answer #16860 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! x^2+y^2=4 \n" ); document.write( "x+y=2 \n" ); document.write( "(c) looks like the answer \n" ); document.write( "x + y = 2 \n" ); document.write( "y = 2 - x \n" ); document.write( "x^2 + (2 - x)^2 = 4 \n" ); document.write( "x^2 + 4 -4x + x^2 = 4 \n" ); document.write( "2x^2 -4x = 0 \n" ); document.write( "x^2 -2x = 0 \n" ); document.write( "x(x - 2) = 0 \n" ); document.write( "this is true when x = 0 or x = 2 \n" ); document.write( "when x = 0, \n" ); document.write( "x + y = 2 \n" ); document.write( "0 + y = 2 \n" ); document.write( "y = 2 \n" ); document.write( "(0, 2) is a solution \n" ); document.write( "when x = 2, \n" ); document.write( "x + y = 2 \n" ); document.write( "2 + y = 2 \n" ); document.write( "y = 0 \n" ); document.write( "(2, 0) is a solution \n" ); document.write( "answer is (c) \n" ); document.write( " |