(x)/(0.484-x)^2=77.5

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Solution for (x)/(0.484-x)^2=77.5 equation: 


D( x )

(0.484-x)^2 = 0

(0.484-x)^2 = 0

(0.484-x)^2 = 0

0.484-x = 0 // - 0.484

-x = -0.484 // * -1

x = 0.484

x in (-oo:0.484) U (0.484:+oo)

x/((0.484-x)^2) = 77.5 // - 77.5

x/((0.484-x)^2)-77.5 = 0

x/((0.484-x)^2)+(-77.5*(0.484-x)^2)/((0.484-x)^2) = 0

x-77.5*(0.484-x)^2 = 0

76.02*x-77.5*x^2-18.15484 = 0

76.02*x-77.5*x^2-18.15484 = 0

76.02*x-77.5*x^2-18.15484 = 0

DELTA = 76.02^2-(-77.5*(-18.15484)*4)

DELTA = 76.02^2-5628.0004

DELTA = 151.04

DELTA > 0

x = ((76.02^2-5628.0004)^(1/2)-76.02)/(-77.5*2) or x = (-(76.02^2-5628.0004)^(1/2)-76.02)/(-77.5*2)

x = ((76.02^2-5628.0004)^(1/2)-76.02)/(-155) or x = ((76.02^2-5628.0004)^(1/2)+76.02)/155

(x-(((76.02^2-5628.0004)^(1/2)-76.02)/(-155)))*(x-(((76.02^2-5628.0004)^(1/2)+76.02)/155)) = 0

((x-(((76.02^2-5628.0004)^(1/2)-76.02)/(-155)))*(x-(((76.02^2-5628.0004)^(1/2)+76.02)/155)))/((0.484-x)^2) = 0

((x-(((76.02^2-5628.0004)^(1/2)-76.02)/(-155)))*(x-(((76.02^2-5628.0004)^(1/2)+76.02)/155)))/((0.484-x)^2) = 0 // * (0.484-x)^2

(x-(((76.02^2-5628.0004)^(1/2)-76.02)/(-155)))*(x-(((76.02^2-5628.0004)^(1/2)+76.02)/155)) = 0

( x-(((76.02^2-5628.0004)^(1/2)+76.02)/155) )

x-(((76.02^2-5628.0004)^(1/2)+76.02)/155) = 0 // + ((76.02^2-5628.0004)^(1/2)+76.02)/155

x = ((76.02^2-5628.0004)^(1/2)+76.02)/155

( x-(((76.02^2-5628.0004)^(1/2)-76.02)/(-155)) )

x-(((76.02^2-5628.0004)^(1/2)-76.02)/(-155)) = 0 // + ((76.02^2-5628.0004)^(1/2)-76.02)/(-155)

x = ((76.02^2-5628.0004)^(1/2)-76.02)/(-155)

x in { ((76.02^2-5628.0004)^(1/2)+76.02)/155, ((76.02^2-5628.0004)^(1/2)-76.02)/(-155) }

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