You can put this solution on YOUR website! Solve the quadratic for 0.
x^2-6x + 13 =0
What multiples to 13 and adds to -6?
Well, 13 is prime, so only 1,13 are factors. So factoring won't be easy.
Let's use the discriminant to see if we will have any solutions.
The discriminant is defined as
If b^2-4ac > 0, we will have 2 solutions.
If b^2-4ac < 0, we will have no solutions.
Thus we have no solutions.