Question

For the following equation state the value of the discriminant and then describe the nature of the solutions.
-14x^2+5x-8=0
what is the value of the discriminant?
which is correct?
the equation has one real solution?
has two imaginary solutions?
or has two real solutions?

Answer 1

the discriminant is by definition, b^2-4ac if it is positive then there are two real solutions if it is 0 it has one solution and if it is negative, then it has imaginary roots

Answer 2

the discriminant for this one is therefore -423 and it has two imaginary roots