.(1 point)
Responses
The solution set is x={13,6}
.
The solution set is x equals left brace Start Fraction 1 over 3 End Fraction comma 6 right brace .
The solution set is x={0,6}
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The solution set is x equals left brace 0 comma 6 right brace .
The solution set is x={−6,3}
.
The solution set is x equals left brace neagtive 6 comma 3 right brace .
The solution set is x={0,−6}
.
1 answer
To solve the factored quadratic equation \( 0 = -13x(x - 6) \), we can set each factor equal to zero.
Set the first factor \( -13x = 0 \): \[ -13x = 0 \implies x = 0 \]
Set the second factor \( (x - 6) = 0 \): \[ x - 6 = 0 \implies x = 6 \]
Thus, the solutions to the equation are \( x = 0 \) and \( x = 6 \).
Therefore, the solution set is: \[ \text{The solution set is } x = {0, 6}. \]
