Question

F(x)=6x^2 +10x−1

What is the value of the discriminant of f?

How many distinct real number zeros does f have?

Answer 1

Answer: It has two distinct real zeros.

Explanation:

The formula that is used to calculate the discriminant of a Quadratic function is the one shown below:

`D=b^2-4ac`

In this case you have the following Quadractic function provided in the exercise:

`f(x)=6x^2 +10x-1`

Let's make it equal to 0:

`0=6x^2 +10x-1`

You can identify that:

`a=6\\\\b=10`

Knowing these values, you can substitute them into the formula and then evaluate:

`D=10^2-4(6)(-1)\\\\D=124`

Therefore, since:

`D>0`

You can determine that the it has two distinct real roots.