((3-x)^2)/4=4

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Solution for ((3-x)^2)/4=4 equation:


x in (-oo:+oo)

((3-x)^2)/4 = 4 // - 4

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

((3-x)^2)/4+(-4*4)/4 = 0

(3-x)^2-4*4 = 0

x^2-6*x-7 = 0

x^2-6*x-7 = 0

x^2-6*x-7 = 0

DELTA = (-6)^2-(-7*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+6)/(1*2) or x = (6-64^(1/2))/(1*2)

x = 7 or x = -1

(x+1)*(x-7) = 0

((x+1)*(x-7))/4 = 0

((x+1)*(x-7))/4 = 0 // * 4

(x+1)*(x-7) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -1, 7 }

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