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12 August, 08:47

Let x2+11x=3 .

What values make an equivalent number sentence after completing the square?

Enter your answers in the boxes.

x2+11x+

=

+3
Answers (2)
  1. 12 August, 09:17
    0
    121/4; 133/4

    Step-by-step explanation:

    x² + 2 (x) (11/2) + (11/2) ² - (11/2) ² = 3

    x² + 2 (x) (11/2) + (11/2) ² = 3 + 121/4

    x² + 11x + 121/4 = 133/4
  2. 12 August, 09:30
    0
    x^2 + 11x + 121/4 = 133/4

    Step-by-step explanation:

    x^2 + 11x = 3

    We need to complete the square

    Take 11

    Divide it by 2

    11/2

    Then square it

    (11/2) ^2 = 121/4

    Add it to each side

    x^2 + 11x + 121/4 = 3+121/4

    x^2 + 11x + 121/4 = 12/4+121/4

    x^2 + 11x + 121/4 = 133/4
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