x2/(0.128-x)=0.15

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Solution for x2/(0.128-x)=0.15 equation: 


D( x )

0.128-x = 0

0.128-x = 0

0.128-x = 0

0.128-x = 0 // - 0.128

-x = -0.128 // * -1

x = 0.128

x in (-oo:0.128) U (0.128:+oo)

(x^2)/(0.128-x) = 0.15 // - 0.15

(x^2)/(0.128-x)-0.15 = 0

(x^2)/(0.128-x)+(-0.15*(0.128-x))/(0.128-x) = 0

x^2-0.15*(0.128-x) = 0

x^2+0.15*x-0.0192 = 0

x^2+0.15*x-0.0192 = 0

x^2+0.15*x-0.0192 = 0

DELTA = 0.15^2-(-0.0192*1*4)

DELTA = 0.15^2+0.0768

DELTA = 0.0993

DELTA > 0

x = ((0.15^2+0.0768)^(1/2)-0.15)/(1*2) or x = (-(0.15^2+0.0768)^(1/2)-0.15)/(1*2)

x = ((0.15^2+0.0768)^(1/2)-0.15)/2 or x = (-((0.15^2+0.0768)^(1/2)+0.15))/2

(x+((0.15^2+0.0768)^(1/2)+0.15)/2)*(x-(((0.15^2+0.0768)^(1/2)-0.15)/2)) = 0

((x+((0.15^2+0.0768)^(1/2)+0.15)/2)*(x-(((0.15^2+0.0768)^(1/2)-0.15)/2)))/(0.128-x) = 0

((x+((0.15^2+0.0768)^(1/2)+0.15)/2)*(x-(((0.15^2+0.0768)^(1/2)-0.15)/2)))/(0.128-x) = 0 // * 0.128-x

(x+((0.15^2+0.0768)^(1/2)+0.15)/2)*(x-(((0.15^2+0.0768)^(1/2)-0.15)/2)) = 0

( x+((0.15^2+0.0768)^(1/2)+0.15)/2 )

x+((0.15^2+0.0768)^(1/2)+0.15)/2 = 0 // - ((0.15^2+0.0768)^(1/2)+0.15)/2

x = -(((0.15^2+0.0768)^(1/2)+0.15)/2)

( x-(((0.15^2+0.0768)^(1/2)-0.15)/2) )

x-(((0.15^2+0.0768)^(1/2)-0.15)/2) = 0 // + ((0.15^2+0.0768)^(1/2)-0.15)/2

x = ((0.15^2+0.0768)^(1/2)-0.15)/2

x in { -(((0.15^2+0.0768)^(1/2)+0.15)/2), ((0.15^2+0.0768)^(1/2)-0.15)/2 }

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