You can
put this solution on YOUR website! .
For those values of "k" for which the discriminant d = b^2 - 4ac is positive
(I refer to the general form of quadratic equation ax^2 + bx + c = 0.)
In your case the discriminant is k^2 -4*2*(-3) = k^2 + 24.
This expression is positive for all and any values of "k": it is the sum of a square and the positive number.
Hence, the given equation has 2 (two) different real solutions at any value of k.
Solved.
