How do you find the value of the discriminant and determine the nature of the roots #-9b^2=-8b+8#?
See a solution process below:
First, convert the equation to standard 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 negative there will be a complex solution.