Question 1089869
If one of the two roots of the equation 

{{{(14x - 5)(7x - 3) + ax - 17 = 0 }}}is {{{-1/2}}} ,than first ind {{{a}}}

{{{(14(-1/2) - 5)(7(-1/2) - 3) + a(-1/2) - 17 = 0 }}}

{{{(-7 - 5)(-7/2 - 6/2) + a(-1/2) - 17 = 0 }}}

{{{(-7 - 5)(-13/2) + a(-1/2) - 17 = 0 }}}

{{{78 + a(-1/2) - 17 = 0 }}}

{{{61  -a/2  = 0 }}}

{{{61  = a/2 }}}

{{{a=122 }}}

{{{(14x - 5)(7x - 3) + 122x - 17 = 0 }}}......factor completely

{{{98x^2 - 77 x + 15+ 122x - 17 = 0 }}}

{{{98x^2 + 45x - 2 = 0 }}}

{{{98x^2 + 45x - 2 = 0 }}}

{{{(2x + 1) (49x - 2) = 0}}}

roots:

if {{{(2x + 1)  = 0}}}->{{{x=-1/2}}}(given)
if {{{(49x - 2) = 0}}}->{{{x=2/49}}}

so, the other root is {{{2/49}}}