1/2(c-8)^2=3

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Solution for 1/2(c-8)^2=3 equation: 


c in (-oo:+oo)

(1/2)*(c-8)^2 = 3 // - 3

(1/2)*(c-8)^2-3 = 0

1/2*(c-8)^2-3 = 0

1/2*(c-8)^2-3 = 0

1/2*c^2-8*c+29 = 0

1/2*c^2-8*c+29 = 0

1/2*c^2-8*c+29 = 0

DELTA = (-8)^2-(1/2*4*29)

DELTA = 6

DELTA > 0

c = (6^(1/2)+8)/(1/2*2) or c = (8-6^(1/2))/(1/2*2)

c = 6^(1/2)+8 or c = 8-6^(1/2)

(c+6^(1/2)-8)*(c-6^(1/2)-8) = 0

(c+6^(1/2)-8)*(c-6^(1/2)-8) = 0

( c+6^(1/2)-8 )

c+6^(1/2)-8 = 0 // - 6^(1/2)-8

c = -(6^(1/2)-8)

c = 8-6^(1/2)

( c-6^(1/2)-8 )

c-6^(1/2)-8 = 0 // + 6^(1/2)+8

c = 6^(1/2)+8

c in { 8-6^(1/2), 6^(1/2)+8 }

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