What is the discriminant of #m^2-8m=-14# and what does that mean?
See a solution process below:
First, put the equation in standard quadratic form:
The quadratic formula states:
The discriminate is the portion of the quadratic equation within the radical:
If the discriminate is:
- Positive, you will get two real solutions
- Zero you get just ONE solution
- Negative you get complex solutions
To find the discriminant for this problem substitute:
Because the discriminate is Positive, you will get two real solutions.