5)

Question

Jess solved the quadratic equation x ^ 2 + 2x = 8 but made a mistake. Her work is shown below. Identify the step(s) in which a mistake was made.

Step 1: x ^ 2 + 2x - 8 = 0

Step 2: (x - 4)(x + 2) = 0

Step 3: x - 4 = 0 x + 2 = 0

Step 4 / x = - 4 or x = - 2

(1 point)

• Step 2 Only

• Step 3 Only

• Step 4 Only

• Steps 2 and 3

• Steps 2 and 4

Answer 1

The mistake was made in Step 3. The correct steps should have been:

Step 1: x^2 + 2x - 8 = 0

Step 2: (x + 4)(x - 2) = 0

Step 3: x + 4 = 0 or x - 2 = 0

Step 4: x = -4 or x = 2

Therefore, the mistake was made in Step 3 only.