Question

For the following equation, state the value of the discriminant and the nature of the solutions.
6x^2-9x-8=0
What is the value of the discriminant?
1. The equation has one real solution.
2. The equation has two real solutions.
3. The equation has two imaginary solutions

Answer 1

b^2-4ac=81-4(6)(-8)=81+192=273
Discriminate is positive so there are 2 real solutions

Answer 2

The discriminants are \[\pm\sqrt{81-[4\times 6\times(-8)]}\]

Answer 3

2. The equation has two real solutions.