document.write( "Question 659604: How would solve: n exponent2-6n=-8? \n" ); document.write( "
Algebra.Com's Answer #410827 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! Starting with n^2 - 6n = - 8, \n" ); document.write( "Set the equation equal to 0 \n" ); document.write( "n^2 - 6n + 8 = -8 + 8 \n" ); document.write( "n^2 - 6n + 8 = 0\r \n" ); document.write( "\n" ); document.write( "Solve the quadratic by finding multiples of 8 which add to -6 \n" ); document.write( "4 and 2 work: 4*2=8 \n" ); document.write( "Both must be negative to get -6, where -4 + - 2 = -6 \n" ); document.write( "It works because -4*-2=8\r \n" ); document.write( "\n" ); document.write( "So, \n" ); document.write( "(n - 4)(n - 2)\r \n" ); document.write( "\n" ); document.write( "Therefore, \n" ); document.write( "n-4=0 \n" ); document.write( "n - 4 + 4 = 0 + 4 \n" ); document.write( "n = 4 \n" ); document.write( "n - 2 = 0 \n" ); document.write( "n - 2 + 2 = 0 + 2 \n" ); document.write( "n = 2\r \n" ); document.write( "\n" ); document.write( "Ultimately, \n" ); document.write( "n = 4 and n = 2 \n" ); document.write( " \n" ); document.write( " |