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7 September, 16:41

What number must you add to complete the square x^2+12x=-5

A 12

B 36

C 144

D 6

+5
Answers (1)
  1. 7 September, 17:04
    0
    The general form of a quadratic equation is,

    Ax² + Bx + C = 0

    A, B, and C are all numerical coefficients of the terms in the equation.

    In order to complete the square, we divide all numerical coefficients by 2 and A. Then, square the value of B/2A. Performing this operation for this item,

    n = (B/2A) ²

    Substituting the known values,

    n = (12/2 (1)) ² = 36

    Thus, the missing number in this item is 36 and the final expression becomes,

    x² + 12x + 36 = - 5 + 36
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