document.write( "Question 200867: 9x^2+4y^2 \n" ); document.write( "
Algebra.Com's Answer #151224 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! 9x^2 +4y^2 \n" ); document.write( ". \n" ); document.write( "very interesting problem. \n" ); document.write( ". \n" ); document.write( "If this was ,, 9x^2 -4y^2 ,, just factor difference of squares,,, \n" ); document.write( "(3x+2y)(3x-2y). To use this form on the positive, lets rewrite the eqn \n" ); document.write( ". \n" ); document.write( "(9x^2 - (-4) y^2 \n" ); document.write( ". \n" ); document.write( "(3x+sqrt(-4)y) (3x- sqrt(-4)y) \n" ); document.write( ". \n" ); document.write( " (3x+2iy) (3x - 2iy) \n" ); document.write( ". \n" ); document.write( "check using FOIL \n" ); document.write( ". \n" ); document.write( "F = 9x^2,,,,O= -6ixy,,,I = +6ixy ,,,,L = -4i^2 y^2 = 9x^2 +4y^2,,(i^2 = -1),,,,,ok \n" ); document.write( " |