20
QuizMultiple Choice

Quadratic Equations — Test

Question 20 • Algebra I

Which is a zero of the quadratic function f of x is equal to 9 x squared minus 54 x minus 19 ?

Answer
A
x is equal to 9 and 1 third
B
x is equal to 3 and 1 third
C
x is equal to 6 and 1 third
D
x is equal to 1 third

Explanation

A zero occurs when f(x) = 0. Set 9x² − 54x − 19 = 0 and use the quadratic formula: x = (54 ± √(54² − 4·9·(−19))) / 18 = (54 ± 60) / 18. The roots are 19/3 and −1/3, so x = 6 and 1/3 is a zero; this is choice B.

AI-written and checked against the verified answer.

Previous
Next