Jedida solved the quadratic equation x2−96=4x by factoring. Her work is shown below. At which step did Jedida first make a mistake, if at all? x2−96=4x Step 1: x2+4x−96=0 Add 4x to both sides. Step 2: (x+12)(x−8)=0 Factor. Step 3: x+12=0 or x−8=0 Use the Zero Product Property. x=−12 or x=8 (1 point) Responses Step 3; she did not apply the Zero Product Property correctly. Step 3; she did not apply the Zero Product Property correctly. She did not make any mistakes. She did not make any mistakes. Step 1; she added 4x to both sides instead of subtracting. Step 1; she added 4 x to both sides instead of subtracting. Step 2; she did not factor the left side of the equation correctly. Step 2; she did not factor the left side of the equation correctly. Skip to navigation
Step 1; she added 4x to both sides instead of subtracting.
Step 1; she added 4x to both sides instead of subtracting.
Jedida's work is shown as follows:
Step 1: x^2 + 4x - 96 = 0 (Added 4x to both sides)
Step 2: (x + 12)(x - 8) = 0 (Factored the left side of the equation)
Step 3: x + 12 = 0 or x - 8 = 0 (Applied the Zero Product Property)
Step 4: x = -12 or x = 8 (Solved for x)
To determine if Jedida made a mistake, let's analyze each step:
Step 1: Jedida correctly added 4x to both sides of the equation, so she did not make a mistake here.
Step 2: Jedida factored the left side of the equation correctly as (x + 12)(x - 8), so she did not make a mistake here either.
Step 3: Jedida applied the Zero Product Property correctly by setting each factor equal to zero, so she did not make a mistake here as well.
Step 4: Jedida solved for x correctly by obtaining x = -12 and x = 8, so she did not make a mistake here either.
Therefore, Jedida did not make any mistakes in solving the quadratic equation x^2 - 96 = 4x. The correct answer is "She did not make any mistakes."