(d-4)^2/4^2=121

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Solution for (d-4)^2/4^2=121 equation:


d in (-oo:+oo)

((d-4)^2)/(4^2) = 121 // - 121

((d-4)^2)/(4^2)-121 = 0

((d-4)^2)/16-121 = 0

((d-4)^2)/16+(-121*16)/16 = 0

(d-4)^2-121*16 = 0

d^2-8*d-1920 = 0

d^2-8*d-1920 = 0

d^2-8*d-1920 = 0

DELTA = (-8)^2-(-1920*1*4)

DELTA = 7744

DELTA > 0

d = (7744^(1/2)+8)/(1*2) or d = (8-7744^(1/2))/(1*2)

d = 48 or d = -40

(d+40)*(d-48) = 0

((d+40)*(d-48))/16 = 0

((d+40)*(d-48))/16 = 0 // * 16

(d+40)*(d-48) = 0

( d+40 )

d+40 = 0 // - 40

d = -40

( d-48 )

d-48 = 0 // + 48

d = 48

d in { -40, 48 }

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