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14 September, 00:57

Solve the equation by completing the square.

x2 - 4x + 1 = 0

a. 2

b. 2 + 3

C. 21 V15

d. 1

+4
Answers (2)
  1. 14 September, 01:33
    0
    b. 2 + √3

    Step-by-step explanation:

    x² - 4x + 1 = 0

    x² - 4x = - 1

    To complete the square, take half of - 4, square it, and add the result to both sides. (-4/2) ² = 4.

    x² - 4x + 4 = - 1 + 4

    (x - 2) ² = 3

    x - 2 = √3

    x = 2 + √3
  2. 14 September, 01:54
    0
    x = 2 + √3, 2 - √3.

    Step-by-step explanation:

    x^2 - 4x + 1 = 0

    x^2 - 4x = - 1

    (x - 2) ^2 - 4 = - 1

    (x - 2) ^2 = 3

    x - 2 = + / -√3

    x = 2 + √3, 2 - √3.
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