(d-3)2/5=30d

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Solution for (d-3)2/5=30d equation:


d in (-oo:+oo)

((d-3)^2)/5 = 30*d // - 30*d

((d-3)^2)/5-(30*d) = 0

((d-3)^2)/5-30*d = 0

((d-3)^2)/5+(-30*5*d)/5 = 0

(d-3)^2-30*5*d = 0

d^2-156*d+9 = 0

d^2-156*d+9 = 0

d^2-156*d+9 = 0

DELTA = (-156)^2-(1*4*9)

DELTA = 24300

DELTA > 0

d = (24300^(1/2)+156)/(1*2) or d = (156-24300^(1/2))/(1*2)

d = (90*3^(1/2)+156)/2 or d = (156-90*3^(1/2))/2

(d-((156-90*3^(1/2))/2))*(d-((90*3^(1/2)+156)/2)) = 0

((d-((156-90*3^(1/2))/2))*(d-((90*3^(1/2)+156)/2)))/5 = 0

((d-((156-90*3^(1/2))/2))*(d-((90*3^(1/2)+156)/2)))/5 = 0 // * 5

(d-((156-90*3^(1/2))/2))*(d-((90*3^(1/2)+156)/2)) = 0

( d-((156-90*3^(1/2))/2) )

d-((156-90*3^(1/2))/2) = 0 // + (156-90*3^(1/2))/2

d = (156-90*3^(1/2))/2

( d-((90*3^(1/2)+156)/2) )

d-((90*3^(1/2)+156)/2) = 0 // + (90*3^(1/2)+156)/2

d = (90*3^(1/2)+156)/2

d in { (156-90*3^(1/2))/2, (90*3^(1/2)+156)/2 }

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