Question

Quadratic Equations Online Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
Solve the factored quadratic equation (13x−2)(x−34)=0
.(1 point)
Responses

The solution set is x={2,34}
.
The solution set is x equals left brace 2 comma 34 right brace .

The solution set is x={132,34}
.
The solution set is x equals left brace Start Fraction 13 over 2 End Fraction comma 34 right brace .

The solution set is x={213,34}
.
The solution set is x equals left brace Start Fraction 2 over 13 End Fraction comma 34 right brace .

The solution set is x={−34,−213}
.
The solution set is x equals left brace negative 34 comma negative Start Fraction 2 over 13 End Fraction right brace .
Remaining Attempts : 3

Answer 1

To solve the factored quadratic equation \((13x - 2)(x - 34) = 0\), we can set each factor equal to zero and solve for \(x\).

1. Setting the first factor, \(13x - 2 = 0\):
\[
13x = 2 \implies x = \frac{2}{13}
\]

2. Setting the second factor, \(x - 34 = 0\):
\[
x = 34
\]

Thus, the solution set is:
\[
x = \left\{ \frac{2}{13}, 34 \right\}
\]

So the correct answer is:
**The solution set is \( x = \left\{ \frac{2}{13}, 34 \right\} \)**.