Question 903111
Let some variable be {{{x^2}}}.  Check the discriminant to see if the quadratic equation (in quadratic form) is or is not factorable.  Solve for the variable and then solve for x.


{{{v=x^2}}}
{{{v^2-35v+304=0}}}----this might be all you need as your answer, OR


... 
{{{discrim=35^2-4*304=9}}}, so you should be able to FACTOR the quadratic expression.

Look at 304.
{{{304=2*152=2*2*76=2*2*2*2*38=2*2*2*2*2*19}}}, but another way is to look for all of the two-factor factorizations of 304.
More comfortable might be just use the general solution to find v...


{{{v=(35+- sqrt(9))/2}}}
{{{v=(35+- 3)/2}}}
{{{highlight(v=16)}}} or {{{highlight(v=19)}}}.


Now find x.
{{{x^2=16}}}
{{{highlight(x=-4)}}} or {{{highlight(x=4)}}}
OR
{{{highlight(x=-sqrt(19))}}} or {{{highlight(x=sqrt(19))}}}



Like just said, if you do not yet know about the general solution you CAN factor the quadratic expression; it just requires looking for the right two factors for 304.