(x^2)/(0.20-x)=1.35*10^-3

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Solution for (x^2)/(0.20-x)=1.35*10^-3 equation: 


D( x )

0.2-x = 0

0.2-x = 0

0.2-x = 0

0.2-x = 0 // - 0.2

-x = -0.2 // * -1

x = 0.2

x in (-oo:0.2) U (0.2:+oo)

(x^2)/(0.2-x) = 1.35*10^-3 // - 1.35*10^-3

(x^2)/(0.2-x)-(1.35*10^-3) = 0

(x^2)/(0.2-x)-1.35*10^-3 = 0

(x^2)/(0.2-x)-0.00135 = 0

(x^2)/(0.2-x)+(-0.00135*(0.2-x))/(0.2-x) = 0

x^2-0.00135*(0.2-x) = 0

x^2+0.00135*x-0.00027 = 0

x^2+0.00135*x-0.00027 = 0

x^2+0.00135*x-0.00027 = 0

DELTA = 0.00135^2-(-0.00027*1*4)

DELTA = 0.00135^2+0.00108

DELTA = 0.00108182

DELTA > 0

x = ((0.00135^2+0.00108)^(1/2)-0.00135)/(1*2) or x = (-(0.00135^2+0.00108)^(1/2)-0.00135)/(1*2)

x = ((0.00135^2+0.00108)^(1/2)-0.00135)/2 or x = (-((0.00135^2+0.00108)^(1/2)+0.00135))/2

(x+((0.00135^2+0.00108)^(1/2)+0.00135)/2)*(x-(((0.00135^2+0.00108)^(1/2)-0.00135)/2)) = 0

((x+((0.00135^2+0.00108)^(1/2)+0.00135)/2)*(x-(((0.00135^2+0.00108)^(1/2)-0.00135)/2)))/(0.2-x) = 0

((x+((0.00135^2+0.00108)^(1/2)+0.00135)/2)*(x-(((0.00135^2+0.00108)^(1/2)-0.00135)/2)))/(0.2-x) = 0 // * 0.2-x

(x+((0.00135^2+0.00108)^(1/2)+0.00135)/2)*(x-(((0.00135^2+0.00108)^(1/2)-0.00135)/2)) = 0

( x+((0.00135^2+0.00108)^(1/2)+0.00135)/2 )

x+((0.00135^2+0.00108)^(1/2)+0.00135)/2 = 0 // - ((0.00135^2+0.00108)^(1/2)+0.00135)/2

x = -(((0.00135^2+0.00108)^(1/2)+0.00135)/2)

( x-(((0.00135^2+0.00108)^(1/2)-0.00135)/2) )

x-(((0.00135^2+0.00108)^(1/2)-0.00135)/2) = 0 // + ((0.00135^2+0.00108)^(1/2)-0.00135)/2

x = ((0.00135^2+0.00108)^(1/2)-0.00135)/2

x in { -(((0.00135^2+0.00108)^(1/2)+0.00135)/2), ((0.00135^2+0.00108)^(1/2)-0.00135)/2 }

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