Answer:
The discriminant is one rational solution:
121
Explanation:
Given the quadratic equation:
[tex]3x^2+5x-8=0[/tex]
Comparing this to:
[tex]ax^2+bx+c=0[/tex]
We see that
a = 3, b = 5, and c = -8
The discriminant is given as:
[tex]\begin{gathered} D=b^2-4ac \\ =5^2-4(3)(-8) \\ =25+96 \\ =121 \end{gathered}[/tex]
The discriminant is one rational solution: 121
