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6 November, 18:33

Mitchell solved a quadratic equation. His work is shown below.

In which step did Mitchell make an error?

5 (x-2) ² + 6=86

5 (x-2) ²=80 Step 1

(x-2) ²=16 Step 2

x²-2²=16 Step 3

x²=20 Step 4

x=±√20 Step 5

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Answers (2)
  1. 6 November, 18:50
    0
    Step 3

    Step-by-step explanation:

    (a - b) ² is not a² - b².

    Should have done:

    Square root both sides after step 2
  2. 6 November, 18:57
    0
    5 (x-2) ²+6=86

    5 (x²+4) + 6=86

    5x²+20=86-6

    5x²=80

    x²=80:5

    x²=16

    ✓x²=✓16

    x=4
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