document.write( "Question 1040785: A number is twice another number and the sum of their squares is 80. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #655690 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "x = 2y,\r\n" ); document.write( "x^2 + y^2 = 80.\r\n" ); document.write( "\r\n" ); document.write( "--->\r\n" ); document.write( "\r\n" ); document.write( "4y^2 + y^2 = 80 --> 5y^2 = 80 --> y^2 = 80/5 = 16 --> y = +/-4.\r\n" ); document.write( "\r\n" ); document.write( "y = +-2.\r\n" ); document.write( "\r\n" ); document.write( "Answer: The numbers are 4 and 8 or -4 and -8.\r\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |