What are the roots of the quadratic function f(q) = q² - 125?

Solution:

A quadratic function is a polynomial function with one or more variables in which the highest power of the variable is two.

Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2.

A quadratic function has a minimum of one term which is of the second degree.

Given: Quadratic function f(q) = q² - 125

For roots, f(q) = 0

⇒ q² - 125 = 0

⇒ q² = 125

⇒ q² = 25 × 5

⇒ q = ±5√5

Therefore, the roots of the quadratic function f(q) = q² - 125 is ±5√5

What are the roots of the quadratic function f(q) = q² - 125?

Summary:

The roots of the quadratic function f(q) = q² - 125 are q = ±5√5.