Question 712219
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)