# How do you find the discriminant and how many and what type of solutions does #6x^2=13x# have?

##### 1 Answer

May 10, 2015

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

Given

we can re-arrange this into the general form

and

so