Question

1. solve for the two possible values of x: (3x - 11)(9x + 17) = 0 write all solutions on the same line, separated by commas.

Explanation:

Step1: Apply zero - product property

If \((3x - 11)(9x + 17)=0\), then either \(3x - 11 = 0\) or \(9x+17 = 0\).

Step2: Solve \(3x - 11 = 0\)

Add 11 to both sides: \(3x=11\), then \(x=\frac{11}{3}\).

Step3: Solve \(9x + 17 = 0\)

Subtract 17 from both sides: \(9x=-17\), then \(x =-\frac{17}{9}\).

Answer:

\(\frac{11}{3},-\frac{17}{9}\)