(X-3/2)^2-1/4=0

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Solution for (X-3/2)^2-1/4=0 equation:


X in (-oo:+oo)

(X-(3/2))^2-(1/4) = 0

(X-3/2)^2-1/4 = 0

(4*(X-3/2)^2)/4-1/4 = 0

4*(X-3/2)^2-1 = 0

4*X^2-12*X+8 = 0

4*X^2-12*X+8 = 0

4*(X^2-3*X+2) = 0

X^2-3*X+2 = 0

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

DELTA = 1

DELTA > 0

X = (1^(1/2)+3)/(1*2) or X = (3-1^(1/2))/(1*2)

X = 2 or X = 1

4*(X-1)*(X-2) = 0

(4*(X-1)*(X-2))/4 = 0

(4*(X-1)*(X-2))/4 = 0 // * 4

4*(X-1)*(X-2) = 0

( 4 )

4 = 0

X belongs to the empty set

( X-1 )

X-1 = 0 // + 1

X = 1

( X-2 )

X-2 = 0 // + 2

X = 2

X in { 1, 2 }

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