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12 September, 01:16

Tran is solving the quadratic equation 2x2 - 4x - 3 = 0 by completing the square. His first four steps are shown in the table.

In which step did Tran first make an error?

Step 1

Step 2

Step 3

Step 4

+2
Answers (1)
  1. 12 September, 01:33
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    The following steps of solving for the roots of 2x² - 4x - 3 = 0 were retrieved from another source Step 1 2x² - 4x = 3 Step 2 2 (x² - 2x) = 3 Step 3 2 (x² - 2x + 1) = 3 + 1 Step 4 2 (x - 1) ² = 4 From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2 (x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2. Therefore, the step that Tran first made an error is Step 3.
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