((d-4)/4)^2=100

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Solution for ((d-4)/4)^2=100 equation:


d in (-oo:+oo)

((d-4)/4)^2 = 100 // - 100

((d-4)/4)^2-100 = 0

((d-4)^2)/(4^2)-100 = 0

((d-4)^2)/(4^2)+(-100*4^2)/(4^2) = 0

(d-4)^2-100*4^2 = 0

d^2-8*d-1584 = 0

d^2-8*d-1584 = 0

d^2-8*d-1584 = 0

DELTA = (-8)^2-(-1584*1*4)

DELTA = 6400

DELTA > 0

d = (6400^(1/2)+8)/(1*2) or d = (8-6400^(1/2))/(1*2)

d = 44 or d = -36

(d+36)*(d-44) = 0

((d+36)*(d-44))/(4^2) = 0

((d+36)*(d-44))/(4^2) = 0 // * 16

(d+36)*(d-44) = 0

( d+36 )

d+36 = 0 // - 36

d = -36

( d-44 )

d-44 = 0 // + 44

d = 44

d in { -36, 44 }

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