Question 948574
Basically what to do is this:


Convert the equation into general form showing quadratic expression in general form equaling to zero.  The coefficients may be expressions including k for a couple of them.  General form is like ax^2+bx+c.


Use the general solution of a quadratic equation to form the ROOTS of the equation.  Simplify.  The roots should be rational but not necessarily integers.  




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When tried found roots  {{{-k}}} and {{{1/2}}}.
Not conclusive enough because no specified requirement that k be rational.
Equation would be {{{2x^2+(2k-1)x-k=0}}}.
Roots would be , after much simplification,  {{{(1-2k+- (2k+1))/4}}}.