Answer:
[tex]13[/tex]
Step-by-step explanation:
[tex]y=3 {x}^{2} +5x+1 [/tex]
The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
[tex] {b}^{2} - 4(ac)[/tex]
Substitute in the values of a, b, and c.
[tex] {5}^{2} - 4(3 \times 1)[/tex]
Evaluate the result to find the discriminant.
Simplify each term.
Raise 5 to the power of 2.
[tex]25 - 4(3 \times 1)[/tex]
Multiply 3 by 1.
[tex]25 - 4 \times 3[/tex]
Multiply −4 by 3.
25−12
Subtract 12 from 25.
13