x^2/(0.1-x)=3.5*10^-4

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Solution for x^2/(0.1-x)=3.5*10^-4 equation: 


D( x )

0.1-x = 0

0.1-x = 0

0.1-x = 0

0.1-x = 0 // - 0.1

-x = -0.1 // * -1

x = 0.1

x in (-oo:0.1) U (0.1:+oo)

(x^2)/(0.1-x) = 3.5*10^-4 // - 3.5*10^-4

(x^2)/(0.1-x)-(3.5*10^-4) = 0

(x^2)/(0.1-x)-3.5*10^-4 = 0

(x^2)/(0.1-x)-0.00035 = 0

(x^2)/(0.1-x)+(-0.00035*(0.1-x))/(0.1-x) = 0

x^2-0.00035*(0.1-x) = 0

x^2+0.00035*x-0.000035 = 0

x^2+0.00035*x-0.000035 = 0

x^2+0.00035*x-0.000035 = 0

DELTA = 0.00035^2-(-0.000035*1*4)

DELTA = 0.00035^2+0.00014

DELTA = 0.00014012

DELTA > 0

x = ((0.00035^2+0.00014)^(1/2)-0.00035)/(1*2) or x = (-(0.00035^2+0.00014)^(1/2)-0.00035)/(1*2)

x = ((0.00035^2+0.00014)^(1/2)-0.00035)/2 or x = (-((0.00035^2+0.00014)^(1/2)+0.00035))/2

(x+((0.00035^2+0.00014)^(1/2)+0.00035)/2)*(x-(((0.00035^2+0.00014)^(1/2)-0.00035)/2)) = 0

((x+((0.00035^2+0.00014)^(1/2)+0.00035)/2)*(x-(((0.00035^2+0.00014)^(1/2)-0.00035)/2)))/(0.1-x) = 0

((x+((0.00035^2+0.00014)^(1/2)+0.00035)/2)*(x-(((0.00035^2+0.00014)^(1/2)-0.00035)/2)))/(0.1-x) = 0 // * 0.1-x

(x+((0.00035^2+0.00014)^(1/2)+0.00035)/2)*(x-(((0.00035^2+0.00014)^(1/2)-0.00035)/2)) = 0

( x+((0.00035^2+0.00014)^(1/2)+0.00035)/2 )

x+((0.00035^2+0.00014)^(1/2)+0.00035)/2 = 0 // - ((0.00035^2+0.00014)^(1/2)+0.00035)/2

x = -(((0.00035^2+0.00014)^(1/2)+0.00035)/2)

( x-(((0.00035^2+0.00014)^(1/2)-0.00035)/2) )

x-(((0.00035^2+0.00014)^(1/2)-0.00035)/2) = 0 // + ((0.00035^2+0.00014)^(1/2)-0.00035)/2

x = ((0.00035^2+0.00014)^(1/2)-0.00035)/2

x in { -(((0.00035^2+0.00014)^(1/2)+0.00035)/2), ((0.00035^2+0.00014)^(1/2)-0.00035)/2 }

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