Question 909341

Given your arithmetic sequence: 
 
{{{k^2 -8 -k = k -5}}} [create quadratic equation = 0 to find {{{k}}}] 
 {{{k^2 -k -k -8 +5 = 0 }}}
 {{{k^2 -2k -3 = 0 }}} [factor] 
{{{k^2 +k-3k -3 = 0 }}}
{{{(k^2 +k)-(3k +3) = 0 }}}
{{{k(k +1)-3(k +1) = 0 }}}
 {{{(k -3)(k +1) = 0 }}}
 so, {{{k = 3}}}, or {{{k= -1 }}}