A quadratic equation has a discriminant of 14. What is the number and type of solutions of the equation?
It has two distinct Real solutions.
If the coefficients of the quadratic equation are rational (e.g. integers), then we can be sure that those solutions will both be irrational.
A quadratic equation of the for
#Delta = b^2 - 4ac#
It has roots given by the quadratic formula:
#x = (-b +-sqrt(b^2-4ac))/(2a) = (-b+-sqrt(Delta))/(2a)#