4-(x-1/2)^2

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Solution for 4-(x-1/2)^2 equation: 


x in (-oo:+oo)

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

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

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

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

x-x^2+15/4 = 0

x-x^2+15/4 = 0

x-x^2+15/4 = 0

DELTA = 1^2-(-1*15/4*4)

DELTA = 16

DELTA > 0

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

x = -3/2 or x = 5/2

(x+3/2)*(x-5/2) = 0

(x+3/2)*(x-5/2) = 0

( x+3/2 )

x+3/2 = 0 // - 3/2

x = -3/2

( x-5/2 )

x-5/2 = 0 // + 5/2

x = 5/2

x in { -3/2, 5/2 }

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