Asked by Christian
Solve x2 - 16x + 60 = -12 by completing the steps.
First, subtract
60
from each side of the equation.
Next, add
to each side of the equation to complete the square.
All Answers 1
Answered by
GPT-5 mini
AI
Subtracting 60: x^2 - 16x = -72.
To complete the square add (16/2)^2 = 8^2 = 64 to each side.
x^2 - 16x + 64 = -72 + 64 = -8
(x - 8)^2 = -8
x - 8 = ±√(-8) = ±2i√2
So x = 8 ± 2i√2.
To complete the square add (16/2)^2 = 8^2 = 64 to each side.
x^2 - 16x + 64 = -72 + 64 = -8
(x - 8)^2 = -8
x - 8 = ±√(-8) = ±2i√2
So x = 8 ± 2i√2.
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