SOLUTION: 1/2(x-4)^2=6

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Question 712219: 1/2(x-4)^2=6
Answer by jim_thompson5910(35256) About Me  (Show Source):
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1/2(x-4)^2=6

(x-4)^2=6*2

(x-4)^2=12

x-4 = +-sqrt(12)

x-4 = sqrt(12) or x-4 = -sqrt(12)

x = 4 + sqrt(12) or x = 4-sqrt(12)

x = 4 + sqrt(4*3) or x = 4-sqrt(4*3)

x = 4 + sqrt(4)*sqrt(3) or x = 4-sqrt(4)*sqrt(3)

x = 4 + 2*sqrt(3) or x = 4-2*sqrt(3)


Answers: x = 4 + 2*sqrt(3) or x = 4-2*sqrt(3)