.(1 point)
Responses
The solution set is x={132,34}
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The solution set is x equals left brace Start Fraction 13 over 2 End Fraction comma 34 right brace .
The solution set is x={−34,−213}
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The solution set is x equals left brace negative 34 comma negative Start Fraction 2 over 13 End Fraction right brace .
The solution set is x={213,34}
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The solution set is x equals left brace Start Fraction 2 over 13 End Fraction comma 34 right brace .
The solution set is x={2,34}
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1 answer
To solve the factored quadratic equation \((13x - 2)(x - 34) = 0\), we can set each factor equal to zero.
From the first factor: \[ 13x - 2 = 0 \] Solving for \(x\): \[ 13x = 2 \ x = \frac{2}{13} \]
From the second factor: \[ x - 34 = 0 \] Solving for \(x\): \[ x = 34 \]
Thus, the solution set is: \[ x = \left{ \frac{2}{13}, 34 \right} \]
So the correct response is: The solution set is x equals left brace Start Fraction 2 over 13 End Fraction comma 34 right brace .
