How do you use the discriminant to determine the number of real-number solutions for #8x^2+8x+2=0#?
1 Answer
See a solution process below:
Explanation:
The quadratic formula states:
For
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