Answer: It has two distinct real zeros.
Step-by-step explanation:
The formula that is used to calculate the discriminant of a Quadratic function is the one shown below:
[tex]D=b^2-4ac[/tex]
In this case you have the following Quadractic function provided in the exercise:
[tex]f(x)=6x^2 +10x-1[/tex]
Let's make it equal to 0:
[tex]0=6x^2 +10x-1[/tex]
You can identify that:
[tex]a=6\\\\b=10[/tex]
Knowing these values, you can substitute them into the formula and then evaluate:
[tex]D=10^2-4(6)(-1)\\\\D=124[/tex]
Therefore, since:
[tex]D>0[/tex]
You can determine that the it has two distinct real roots.
