document.write( "Question 1143372: One root of $\"+x%5E2-3x%2Bk-2=0+\"$ is -4. Find the value of k.\r
\n" ); document.write( "\n" ); document.write( "Here is what I tried at the start:
\n" ); document.write( " $\"+-4=-3%2B-+sqrt%289-4%28k-2%29%29%2F2+\"$ \r
\n" ); document.write( "\n" ); document.write( "But I am stuck from there on. Thank you for your help! \n" ); document.write( "

Algebra.Com's Answer #764175 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
One root of $\"+x%5E2-3x%2Bk-2=0+\"$ is -4. Find the value of k.
\n" ); document.write( ":
\n" ); document.write( "continuing what you have
\n" ); document.write( " $\"+%28-%28-3%29-sqrt%289-4%28k-2%29%29%2F2%29+=+-4\"$
\n" ); document.write( "b becomes +3
\n" ); document.write( " $\"+%283-sqrt%289-4%28k-2%29%29%2F2%29+=+-4\"$
\n" ); document.write( "multiply both sides by 2
\n" ); document.write( " $\"+%283-sqrt%289-4%28k-2%29%29%29+=+-8\"$
\n" ); document.write( "subtract 3 from both sides
\n" ); document.write( " $\"+%28-sqrt%289-4%28k-2%29%29%29+=+-11\"$
\n" ); document.write( "square both sides
\n" ); document.write( "9 - 4(k-2) = 121
\n" ); document.write( "-4k + 8 = 121 - 9
\n" ); document.write( "-4k = 112 - 8
\n" ); document.write( "-4k = 104
\n" ); document.write( "k = 104/-4
\n" ); document.write( "k = -26
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "check: the equation then is: y = x^- 3x - 28
\n" ); document.write( "factors to (x+4)(x-7) \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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