-17
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You must add 19.
Depending on the value of x, any other number may or may not result in a square.
4
square root -5 minus 14 or - square root -5 minus 14
The idea is to take half the linear part (12, in this case), then square it. The constant part must be equal to this result.
81. To complete the square, halve the coefficient of the x term (18/2 = 9) and add the square of this (92 = 81) to both sides: x2 + 18x = -13 ⇒ x2 + 18x + 81 = -13 + 81 ⇒ (x + 9)2 = 68
x2 + 20x - 39 = 0: Add 61 giving: x2 + 20x + 100 = (x + 10)2