document.write( "Question 838873: how do I solve k^2-4k-5=0 \n" ); document.write( "
Algebra.Com's Answer #505408 by mxgirl22(39)![]() ![]() You can put this solution on YOUR website! how do I solve k^2-4k-5=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------- \n" ); document.write( "1.) You can either factor or use the quadratic formula.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For this step I'll show you factoring since this is a nice trinomial.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k^2-4k-5=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We need to find two numbers that will give us -5 when multiplied together and -4 when added together.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I like to set it up like this when I'm solving...\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "[_]+[_]=-4 \n" ); document.write( "[_]x[_]=-5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I know the only way to get -5 when multiplying is by having 1 & -5(or -1 and 5) but looking at what it needs to add up to it has to be 1 and -5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "[1]+[-5]=-4 \n" ); document.write( "[1]x[-5]=-5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now use those numbers to factor.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k^2-4k-5=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k^2+1k-5k-5=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(k^2+1k)+(-5k-5)=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k(k+1)-5(k+1)=0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k-5=0___&___k+1=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k-5+5=0+5_&_k+1-1=0-1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k=5_____&___k=-1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------------- \n" ); document.write( "2.) If you wanted to use the **Quadratic Formula**, this is the step to look at:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k^2-4k-5=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a=1, b=-4, c=-5\r \n" ); document.write( "\n" ); document.write( "Quadratic Formula:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |