((x^2)/(0.5-x))=8.1*10^-5

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Solution for ((x^2)/(0.5-x))=8.1*10^-5 equation: 


D( x )

0.5-x = 0

0.5-x = 0

0.5-x = 0

0.5-x = 0 // - 0.5

-x = -0.5 // * -1

x = 0.5

x in (-oo:0.5) U (0.5:+oo)

(x^2)/(0.5-x) = 8.1*10^-5 // - 8.1*10^-5

(x^2)/(0.5-x)-(8.1*10^-5) = 0

(x^2)/(0.5-x)-8.1*10^-5 = 0

(x^2)/(0.5-x)-0.000081 = 0

(x^2)/(0.5-x)+(-0.000081*(0.5-x))/(0.5-x) = 0

x^2-0.000081*(0.5-x) = 0

x^2+0.000081*x-0.0000405 = 0

x^2+0.000081*x-0.0000405 = 0

x^2+0.000081*x-0.0000405 = 0

DELTA = 0.000081^2-(-0.0000405*1*4)

DELTA = 0.000081^2+0.000162

DELTA = 0.00016201

DELTA > 0

x = ((0.000081^2+0.000162)^(1/2)-0.000081)/(1*2) or x = (-(0.000081^2+0.000162)^(1/2)-0.000081)/(1*2)

x = ((0.000081^2+0.000162)^(1/2)-0.000081)/2 or x = (-((0.000081^2+0.000162)^(1/2)+0.000081))/2

(x+((0.000081^2+0.000162)^(1/2)+0.000081)/2)*(x-(((0.000081^2+0.000162)^(1/2)-0.000081)/2)) = 0

((x+((0.000081^2+0.000162)^(1/2)+0.000081)/2)*(x-(((0.000081^2+0.000162)^(1/2)-0.000081)/2)))/(0.5-x) = 0

((x+((0.000081^2+0.000162)^(1/2)+0.000081)/2)*(x-(((0.000081^2+0.000162)^(1/2)-0.000081)/2)))/(0.5-x) = 0 // * 0.5-x

(x+((0.000081^2+0.000162)^(1/2)+0.000081)/2)*(x-(((0.000081^2+0.000162)^(1/2)-0.000081)/2)) = 0

( x+((0.000081^2+0.000162)^(1/2)+0.000081)/2 )

x+((0.000081^2+0.000162)^(1/2)+0.000081)/2 = 0 // - ((0.000081^2+0.000162)^(1/2)+0.000081)/2

x = -(((0.000081^2+0.000162)^(1/2)+0.000081)/2)

( x-(((0.000081^2+0.000162)^(1/2)-0.000081)/2) )

x-(((0.000081^2+0.000162)^(1/2)-0.000081)/2) = 0 // + ((0.000081^2+0.000162)^(1/2)-0.000081)/2

x = ((0.000081^2+0.000162)^(1/2)-0.000081)/2

x in { -(((0.000081^2+0.000162)^(1/2)+0.000081)/2), ((0.000081^2+0.000162)^(1/2)-0.000081)/2 }

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