1/2(x+8)^2=14

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Solution for 1/2(x+8)^2=14 equation:


x in (-oo:+oo)

(1/2)*(x+8)^2 = 14 // - 14

(1/2)*(x+8)^2-14 = 0

1/2*(x+8)^2-14 = 0

1/2*(x+8)^2-14 = 0

1/2*x^2+8*x+18 = 0

1/2*x^2+8*x+18 = 0

1/2*x^2+8*x+18 = 0

DELTA = 8^2-(1/2*4*18)

DELTA = 28

DELTA > 0

x = (28^(1/2)-8)/(1/2*2) or x = (-28^(1/2)-8)/(1/2*2)

x = 2*7^(1/2)-8 or x = -2*7^(1/2)-8

(x+2*7^(1/2)+8)*(x-2*7^(1/2)+8) = 0

(x+2*7^(1/2)+8)*(x-2*7^(1/2)+8) = 0

( x+2*7^(1/2)+8 )

x+2*7^(1/2)+8 = 0 // - 2*7^(1/2)+8

x = -(2*7^(1/2)+8)

( x-2*7^(1/2)+8 )

x-2*7^(1/2)+8 = 0 // - 8-2*7^(1/2)

x = -(8-2*7^(1/2))

x in { -(2*7^(1/2)+8), -(8-2*7^(1/2)) }

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