Question

Meredith solved a quadratic equation. Her work is shown below.

Answer 1

Answer:

Step 2

Step-by-step explanation:

Meredith made a fatal mistake or error in step 2;

Any quadratic problem will always have two solutions. Therefore since, we only have one solution here, it is wrong. The mistake was incurred in step 2;

  From the given problem ;

    Wrong                                                  right

    2(x + 4)² = 242

    (x + 4)² = 121     Step 1  

     x+4=11              Step 2                  x + 4  = ± 11

     x  = 7                Step 3                  x + 4  = 11 or x + 4  = -11

                                                           x  = 11- 4     or    x  = -11 - 4

                                                           x  = 7 or -15