((d-4)/4)^2=49

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Solution for ((d-4)/4)^2=49 equation:


d in (-oo:+oo)

((d-4)/4)^2 = 49 // - 49

((d-4)/4)^2-49 = 0

((d-4)^2)/(4^2)-49 = 0

((d-4)^2)/(4^2)+(-49*4^2)/(4^2) = 0

(d-4)^2-49*4^2 = 0

d^2-8*d-768 = 0

d^2-8*d-768 = 0

d^2-8*d-768 = 0

DELTA = (-8)^2-(-768*1*4)

DELTA = 3136

DELTA > 0

d = (3136^(1/2)+8)/(1*2) or d = (8-3136^(1/2))/(1*2)

d = 32 or d = -24

(d+24)*(d-32) = 0

((d+24)*(d-32))/(4^2) = 0

((d+24)*(d-32))/(4^2) = 0 // * 16

(d+24)*(d-32) = 0

( d+24 )

d+24 = 0 // - 24

d = -24

( d-32 )

d-32 = 0 // + 32

d = 32

d in { -24, 32 }

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