(X-1/2)^2=1

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


X in (-oo:+oo)

(X-(1/2))^2 = 1 // - 1

(X-(1/2))^2-1 = 0

(X-1/2)^2-1 = 0

(X-1/2)^2-1 = 0

X^2-X-3/4 = 0

X^2-X-3/4 = 0

X^2-X-3/4 = 0

DELTA = (-1)^2-(-3/4*1*4)

DELTA = 4

DELTA > 0

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

X = 3/2 or X = -1/2

(X+1/2)*(X-3/2) = 0

(X+1/2)*(X-3/2) = 0

( X+1/2 )

X+1/2 = 0 // - 1/2

X = -1/2

( X-3/2 )

X-3/2 = 0 // + 3/2

X = 3/2

X in { -1/2, 3/2 }

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