1/2(x-2)^2-8=0

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Solution for 1/2(x-2)^2-8=0 equation: 


x in (-oo:+oo)

(1/2)*(x-2)^2-8 = 0

1/2*(x-2)^2-8 = 0

1/2*(x-2)^2-8 = 0

1/2*x^2-2*x-6 = 0

1/2*x^2-2*x-6 = 0

1/2*x^2-2*x-6 = 0

DELTA = (-2)^2-(-6*1/2*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(1/2*2) or x = (2-16^(1/2))/(1/2*2)

x = 6 or x = -2

(x+2)*(x-6) = 0

(x+2)*(x-6) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -2, 6 }

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