(x-1/2)(x-1/2)=3/2

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Solution for (x-1/2)(x-1/2)=3/2 equation: 


x in (-oo:+oo)

(x-(1/2))*(x-(1/2)) = 3/2 // - 3/2

(x-(1/2))*(x-(1/2))-(3/2) = 0

(x-1/2)*(x-1/2)-3/2 = 0

(x-1/2)^2-3/2 = 0

(2*(x-1/2)^2)/2-3/2 = 0

2*(x-1/2)^2-3 = 0

2*x^2-2*x-5/2 = 0

2*x^2-2*x-5/2 = 0

2*x^2-2*x-5/2 = 0

DELTA = (-2)^2-(-5/2*2*4)

DELTA = 24

DELTA > 0

x = (24^(1/2)+2)/(2*2) or x = (2-24^(1/2))/(2*2)

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

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

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

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

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

( x-((2*6^(1/2)+2)/4) )

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

x = (2*6^(1/2)+2)/4

( x-((2-2*6^(1/2))/4) )

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

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

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

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