.(1 point)
Responses
The solution set is x={−313,914}
.
The solution set is x equals left brace negative Start Fraction 3 over 13 End Fraction comma Start Fraction 9 over 14 End Fraction right brace .
The solution set is x={−133,914}
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The solution set is x equals left brace negative Start Fraction 13 over 3 End Fraction comma Start Fraction 9 over 14 End Fraction right brace .
The solution set is x={−313,159}
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The solution set is x equals left brace negative Start Fraction 3 over 13 End Fraction comma 1 Start Fraction 5 over 9 End Fraction right brace .
The solution set is x={−3,14}
.
1 answer
To solve the factored quadratic equation \((13x + 3)(9x - 14) = 0\), we can set each factor equal to zero:
For the first equation: \[ 13x + 3 = 0 \ 13x = -3 \ x = -\frac{3}{13} \]
For the second equation: \[ 9x - 14 = 0 \ 9x = 14 \ x = \frac{14}{9} \]
Now we can write the solution set:
\[ x = \left{-\frac{3}{13}, \frac{14}{9}\right} \]
Therefore, the correct response is:
The solution set is \( x = \left{-\frac{3}{13}, \frac{14}{9}\right} \).
