Solve the factored quadratic equation 0=−13x(x−6).(1 point) Responses 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}. The solution set is x equals left brace neagtive 0 comma negative 6 right brace . 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}.
The solution set is x={0,6}.
The correct response is: The solution set is x={0,6}.
To solve the factored quadratic equation 0=−13x(x−6), we can set each factor equal to zero and solve for x.
1) Set the factor -13x equal to zero:
-13x = 0
To solve for x, divide both sides of the equation by -13:
-13x / -13 = 0 / -13
x = 0
2) Set the factor (x - 6) equal to zero:
x - 6 = 0
To solve for x, add 6 to both sides of the equation:
x - 6 + 6 = 0 + 6
x = 6
Therefore, the solution set for the factored quadratic equation 0=−13x(x−6) is x = {0, 6}.