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={0,6}.
The solution set is x equals left brace 0 comma 6 right brace .
The solution set is x={13,6}.
The given factored quadratic equation is:
0 = −13x(x − 6)
To solve for x, we find the values of x that make the equation true. Since the product of the two factors is equal to 0, either one or both of the factors must be equal to 0. Therefore, we have two potential solutions:
First factor: −13x = 0
To solve for x, divide both sides by -13:
x = 0/(-13)
x = 0
Second factor: (x − 6) = 0
To solve for x, add 6 to both sides:
x = 6
Thus, the solution set is x = {0, 6}.
Therefore, the correct answer is:
The solution set is x = {0, 6}.
so its c
Yes, the correct answer is (c):
The solution set is x={0,6}.
The solution set is x equals left brace 0 comma 6 right brace.
To solve the factored quadratic equation 0=-13x(x-6), we set each factor equal to zero and solve for x.
Step 1: Set the first factor -13x equal to zero:
-13x = 0
Step 2: Solve for x by dividing both sides of the equation by -13:
x = 0/-13
x = 0
Step 3: Set the second factor (x-6) equal to zero:
x-6 = 0
Step 4: Solve for x by adding 6 to both sides of the equation:
x = 6
The solution set is x = {0, 6}. Therefore, the correct option is: "The solution set is x = {0, 6}."