Question

What is the value of the discriminant in the function, f(x) = x^2 + 10x + 25?

a) -999
b) 104
c) 0
d) -96

Answer 1

The value of the discriminant in the given quadratic equation is 0. The correct answer is c) 0.

Step-by-step explanation:

The discriminant is a value that helps us determine the nature of the solutions to a quadratic equation. For the quadratic equation
`f(x) = x^2 + 10x + 25`, the discriminant can be found using the formula:

Discriminant =
`b^2 - 4ac`

Plugging in the values from the given equation, we get:
Discriminant =
`(10)^2 - 4(1)(25)`

Simplifying, we get:
Discriminant = 100 - 100
Discriminant = 0

Therefore, the value of the discriminant in the function
`f(x) = x^2 + 10x + 25` is 0 (option c).