(x*x)/(0.125-x)=0.00014

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Solution for (x*x)/(0.125-x)=0.00014 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) = 0.00014 // - 0.00014

(x*x)/(0.125-x)-0.00014 = 0

(x^2)/(0.125-x)-0.00014 = 0

(x^2)/(0.125-x)+(-0.00014*(0.125-x))/(0.125-x) = 0

x^2-0.00014*(0.125-x) = 0

x^2+0.00014*x-0.0000175 = 0

x^2+0.00014*x-0.0000175 = 0

x^2+0.00014*x-0.0000175 = 0

DELTA = 0.00014^2-(-0.0000175*1*4)

DELTA = 0.00014^2+0.00007

DELTA = 0.00007002

DELTA > 0

x = ((0.00014^2+0.00007)^(1/2)-0.00014)/(1*2) or x = (-(0.00014^2+0.00007)^(1/2)-0.00014)/(1*2)

x = ((0.00014^2+0.00007)^(1/2)-0.00014)/2 or x = (-((0.00014^2+0.00007)^(1/2)+0.00014))/2

(x+((0.00014^2+0.00007)^(1/2)+0.00014)/2)*(x-(((0.00014^2+0.00007)^(1/2)-0.00014)/2)) = 0

((x+((0.00014^2+0.00007)^(1/2)+0.00014)/2)*(x-(((0.00014^2+0.00007)^(1/2)-0.00014)/2)))/(0.125-x) = 0

((x+((0.00014^2+0.00007)^(1/2)+0.00014)/2)*(x-(((0.00014^2+0.00007)^(1/2)-0.00014)/2)))/(0.125-x) = 0 // * 0.125-x

(x+((0.00014^2+0.00007)^(1/2)+0.00014)/2)*(x-(((0.00014^2+0.00007)^(1/2)-0.00014)/2)) = 0

( x+((0.00014^2+0.00007)^(1/2)+0.00014)/2 )

x+((0.00014^2+0.00007)^(1/2)+0.00014)/2 = 0 // - ((0.00014^2+0.00007)^(1/2)+0.00014)/2

x = -(((0.00014^2+0.00007)^(1/2)+0.00014)/2)

( x-(((0.00014^2+0.00007)^(1/2)-0.00014)/2) )

x-(((0.00014^2+0.00007)^(1/2)-0.00014)/2) = 0 // + ((0.00014^2+0.00007)^(1/2)-0.00014)/2

x = ((0.00014^2+0.00007)^(1/2)-0.00014)/2

x in { -(((0.00014^2+0.00007)^(1/2)+0.00014)/2), ((0.00014^2+0.00007)^(1/2)-0.00014)/2 }

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