(X-3/2)^2=9

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Solution for (X-3/2)^2=9 equation: 


X in (-oo:+oo)

(X-(3/2))^2 = 9 // - 9

(X-(3/2))^2-9 = 0

(X-3/2)^2-9 = 0

(X-3/2)^2-9 = 0

X^2-3*X-27/4 = 0

X^2-3*X-27/4 = 0

X^2-3*X-27/4 = 0

DELTA = (-3)^2-(-27/4*1*4)

DELTA = 36

DELTA > 0

X = (36^(1/2)+3)/(1*2) or X = (3-36^(1/2))/(1*2)

X = 9/2 or X = -3/2

(X+3/2)*(X-9/2) = 0

(X+3/2)*(X-9/2) = 0

( X+3/2 )

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

X = -3/2

( X-9/2 )

X-9/2 = 0 // + 9/2

X = 9/2

X in { -3/2, 9/2 }

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