(X-8)^2-2=5/2

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Solution for (X-8)^2-2=5/2 equation: 


X in (-oo:+oo)

(X-8)^2-2 = 5/2 // - 5/2

(X-8)^2-(5/2)-2 = 0

(X-8)^2-5/2-2 = 0

(2*(X-8)^2)/2-5/2+(-2*2)/2 = 0

2*(X-8)^2-2*2-5 = 0

2*X^2-32*X-4+123 = 0

2*X^2-32*X+119 = 0

2*X^2-32*X+119 = 0

2*X^2-32*X+119 = 0

DELTA = (-32)^2-(2*4*119)

DELTA = 72

DELTA > 0

X = (72^(1/2)+32)/(2*2) or X = (32-72^(1/2))/(2*2)

X = (6*2^(1/2)+32)/4 or X = (32-6*2^(1/2))/4

(X-((32-6*2^(1/2))/4))*(X-((6*2^(1/2)+32)/4)) = 0

((X-((32-6*2^(1/2))/4))*(X-((6*2^(1/2)+32)/4)))/2 = 0

((X-((32-6*2^(1/2))/4))*(X-((6*2^(1/2)+32)/4)))/2 = 0 // * 2

(X-((32-6*2^(1/2))/4))*(X-((6*2^(1/2)+32)/4)) = 0

( X-((32-6*2^(1/2))/4) )

X-((32-6*2^(1/2))/4) = 0 // + (32-6*2^(1/2))/4

X = (32-6*2^(1/2))/4

( X-((6*2^(1/2)+32)/4) )

X-((6*2^(1/2)+32)/4) = 0 // + (6*2^(1/2)+32)/4

X = (6*2^(1/2)+32)/4

X in { (32-6*2^(1/2))/4, (6*2^(1/2)+32)/4 }

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