Question 1046436

{{{ x^2-10x+k=0 }}} 

Find the discriminant {{{b^2 - 4ac }}}, 

{{{(-10)^2 - 4*1*k }}}

{{{100 - 4k }}}

if the discriminant {{{100 - 4k=0 }}} there will be  1 solution, solve for {{{k}}}

{{{100 =4k}}}

{{{k=100/4}}}

{{{k=25}}}


check: {{{ x^2-10x+25=0 }}} 

{{{ graph( 600, 600, -10, 10, -10, 10, x^2-10x+25) }}}