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22 July, 14:25

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

In which step did Josephine make an error?

5 (x + 7) 2 = 245

(x + 7) = 49

Step 1

*+7=7

Step 2

x = 0

Step 3

Choose1 answer.

+3
Answers (1)
  1. 22 July, 14:33
    0
    Step-by-step explanation:

    hello:

    5 (x + 7) ² = 245

    (x + 7) ² = 49

    x=0 is solution but you have other solution - 14 because : (-14+7) ² = (-7) ² = 49

    here is an solution Step-by-step:

    (x + 7) ² = 49 means : (x + 7) ² = 7²

    (x + 7) ² - 7²=0 use identity : a²-b² = (a-b) (a+b)

    a=x+7 and b = 7

    (x+7-7) (x+7+7) = 0

    x (x+14) = 0

    x=0 or x+14=0

    so : x=0 or x = - 14
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