How do you find the discriminant and how many and what type of solutions does #6x^2=13x# have?
Ripan's solutions are correct but don't answer the more general question.
Solutions to a quadratic of the form
the quadratic formula
The sub-expression within the square root determines the number (and type) of solutions; this sub-expression is called the "discriminant" and is typically expressed as:
with the conditions
we can re-arrange this into the general form