(x*x)/(0.125-x)=0.0001

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Solution for (x*x)/(0.125-x)=0.0001 equation: 


D( x )

0.125-x = 0

0.125-x = 0

0.125-x = 0

0.125-x = 0 // - 0.125

-x = -0.125 // * -1

x = 0.125

x in (-oo:0.125) U (0.125:+oo)

(x*x)/(0.125-x) = 0.0001 // - 0.0001

(x*x)/(0.125-x)-0.0001 = 0

(x^2)/(0.125-x)-0.0001 = 0

(x^2)/(0.125-x)+(-0.0001*(0.125-x))/(0.125-x) = 0

x^2-0.0001*(0.125-x) = 0

x^2+0.0001*x-0.0000125 = 0

x^2+0.0001*x-0.0000125 = 0

x^2+0.0001*x-0.0000125 = 0

DELTA = 0.0001^2-(-0.0000125*1*4)

DELTA = 0.0001^2+0.00005

DELTA = 0.00005001

DELTA > 0

x = ((0.0001^2+0.00005)^(1/2)-0.0001)/(1*2) or x = (-(0.0001^2+0.00005)^(1/2)-0.0001)/(1*2)

x = ((0.0001^2+0.00005)^(1/2)-0.0001)/2 or x = (-((0.0001^2+0.00005)^(1/2)+0.0001))/2

(x+((0.0001^2+0.00005)^(1/2)+0.0001)/2)*(x-(((0.0001^2+0.00005)^(1/2)-0.0001)/2)) = 0

((x+((0.0001^2+0.00005)^(1/2)+0.0001)/2)*(x-(((0.0001^2+0.00005)^(1/2)-0.0001)/2)))/(0.125-x) = 0

((x+((0.0001^2+0.00005)^(1/2)+0.0001)/2)*(x-(((0.0001^2+0.00005)^(1/2)-0.0001)/2)))/(0.125-x) = 0 // * 0.125-x

(x+((0.0001^2+0.00005)^(1/2)+0.0001)/2)*(x-(((0.0001^2+0.00005)^(1/2)-0.0001)/2)) = 0

( x+((0.0001^2+0.00005)^(1/2)+0.0001)/2 )

x+((0.0001^2+0.00005)^(1/2)+0.0001)/2 = 0 // - ((0.0001^2+0.00005)^(1/2)+0.0001)/2

x = -(((0.0001^2+0.00005)^(1/2)+0.0001)/2)

( x-(((0.0001^2+0.00005)^(1/2)-0.0001)/2) )

x-(((0.0001^2+0.00005)^(1/2)-0.0001)/2) = 0 // + ((0.0001^2+0.00005)^(1/2)-0.0001)/2

x = ((0.0001^2+0.00005)^(1/2)-0.0001)/2

x in { -(((0.0001^2+0.00005)^(1/2)+0.0001)/2), ((0.0001^2+0.00005)^(1/2)-0.0001)/2 }

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