document.write( "Question 254746: What is the solution to (25x^2)-(16y^2)=400 ? \n" ); document.write( "
Algebra.Com's Answer #187069 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! (25x^2)-(16y^2)=400 ?\r \n" ); document.write( "\n" ); document.write( "Divide by sides of the equation by 400: \r \n" ); document.write( "\n" ); document.write( "25x^2/400 -16y^2/400 = 1\r \n" ); document.write( "\n" ); document.write( "or\r \n" ); document.write( "\n" ); document.write( "x^2/(400/25) - y^2/(400/16) = 1\r \n" ); document.write( "\n" ); document.write( "This is in the standard form of a hyperbola [x^2/a^2 - y^2/b^2 = 1] which intersects the x-axis at (20/5,0) and (-20/5,0).\r \n" ); document.write( "\n" ); document.write( "There are two asymtotes: y = (400/16)/(400/25)*x and y = -(400/16)/(400/25)*x \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |