202k views
5 votes
How many roots of f(x) are rational numbers? (Roots: 2, 3, 9/2)

User Tturbo
by
7.2k points

1 Answer

5 votes

Final answer:

All three given roots (2, 3, and 9/2) of the function f(x) are rational numbers, thus the answer to the question is three.

Step-by-step explanation:

The question asks, How many roots of f(x) are rational numbers, given the roots 2, 3, and 9/2. A rational number is defined as a number that can be expressed as the quotient or fraction p/q of two integers, where the denominator q is not zero. All of the provided roots, 2, 3, and 9/2, meet these criteria, as they can be written as fractions with an integer numerator and a non-zero integer denominator.

Therefore, the answer to how many roots of f(x) are rational numbers is three, since all listed roots (2, 3, and 9/2) are rational.

The number of rational roots of a function can be determined by analyzing its equation. In this case, we need to determine how many roots of the equation f(x) = 0 are rational numbers. By examining the roots given (2, 3, 9/2), we can see that all three roots are rational numbers. Therefore, the function f(x) has 3 rational roots.

User Roman Kalinchuk
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories