10
QuizMultiple Choice

Adding and Subtracting Rational Expressions — Quiz

Question 10 • Algebra: Concepts and Connections

Which values of x will make the expression the fraction with numerator 6 x squared minus 54 and denominator 5 x squared minus 20 equal to 0 ? Choose two correct answers.

Answer
A
negative 2
B
0
C
3
D
negative 3
E
2

Explanation

A fraction equals 0 when its numerator is 0 and its denominator is not 0. Setting 6x² − 54 = 0 gives x² = 9, so x = 3 or x = −3; for either value, 5x² − 20 = 25, which is nonzero. The correct choices are 3 and negative 3.

AI-written and checked against the verified answer.