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x2 + 12x - 5 = 0

x2 + 12x - 5 + 5 = 0 + 5

x2 + 12x = 5

x2 + 12x + (12/2)2 = 5 + (12/2)2

x2 + 12x + (6)2 = 5 + 36

(x + 6)2 = 41 (square root of both sides)

x + 6 = ± √41

x + 6 - 6 = -6 ± √41

x = -6 ± √41

x ≈ -6 + 6.4 = -0.4

x ≈ -6 - 6.4 = -12.4

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Q: In solving the quadratic equation x2 plus 12x - 5 equals 0 what value would complete the square?
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