(x-1/2)^2=121

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Solution for (x-1/2)^2=121 equation: 


x in (-oo:+oo)

(x-(1/2))^2 = 121 // - 121

(x-(1/2))^2-121 = 0

(x-1/2)^2-121 = 0

(x-1/2)^2-121 = 0

x^2-x-483/4 = 0

x^2-x-483/4 = 0

x^2-x-483/4 = 0

DELTA = (-1)^2-(-483/4*1*4)

DELTA = 484

DELTA > 0

x = (484^(1/2)+1)/(1*2) or x = (1-484^(1/2))/(1*2)

x = 23/2 or x = -21/2

(x+21/2)*(x-23/2) = 0

(x+21/2)*(x-23/2) = 0

( x+21/2 )

x+21/2 = 0 // - 21/2

x = -21/2

( x-23/2 )

x-23/2 = 0 // + 23/2

x = 23/2

x in { -21/2, 23/2 }

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