document.write( "Question 1068009: Pls help me solve this question x2+12x+36=0 \n" ); document.write( "
Algebra.Com's Answer #683168 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you can factor this as follows.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "first put it in standard form of ax^2 + bx + c = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it's already in that form.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 1 \n" ); document.write( "b = 12 \n" ); document.write( "c = 36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your answers, if there are any that you can find that are rational, will be a factor of a * c which is equal to 36.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "36 is equal to 1 * 36 or 2 * 18 or 3 * 12 or 4 * 9 or 6 * 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you add these factors together, the last one (6 * 6) will be equal to 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this means your factors are (x + 6) * (x + 6) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x in each of there and you gert x = -6 or x = -6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the roots of that equation are x = - 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you graph that equaiton, you will see that it touches the x-axis at x = -6 only.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's what the graph looks like.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's a good link on how to factor quadratic equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.purplemath.com/modules/factquad.htm \n" ); document.write( " |