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12 November, 11:43

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

In which step did Meredith make an error?

2 (x + 4) 2 = 242

(x + 4) 2 = 121 Step 1

2+4=11 Step 2

2 = 7 Step 3

+4
Answers (1)
  1. 12 November, 14:32
    0
    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
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