Question

algebra 2: 3.4 solve rational equations
the algebros
pregunta de opción múltiple
what are the excluded values? (the value of x that would make the denominator = 0)
6
3
0

Explanation:

Step1: Identify Denominators

From the rational equation (visible as \(\frac{2}{3x} + \frac{1}{6} = \frac{4}{3x}\)), the denominators are \(3x\), \(6\), and \(3x\). The denominator \(6\) never equals \(0\) for real \(x\). For \(3x\), set \(3x = 0\).

Step2: Solve for Excluded \(x\)

Solve \(3x = 0\) by dividing both sides by \(3\): \(x = \frac{0}{3} = 0\). So \(x = 0\) is excluded.

Answer:

0 (the option with "0")