How do you find the discriminant for #x^2-4/5x=3# and determine the number and type of solutions?
See a solution process below:
First, rewrite the equation in standard form as:
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 there will two (2) real solutions for this equation.