(x^2)/(0.1-x)=0.11

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Solution for (x^2)/(0.1-x)=0.11 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) = 0.11 // - 0.11

(x^2)/(0.1-x)-0.11 = 0

(x^2)/(0.1-x)+(-0.11*(0.1-x))/(0.1-x) = 0

x^2-0.11*(0.1-x) = 0

x^2+0.11*x-0.011 = 0

x^2+0.11*x-0.011 = 0

x^2+0.11*x-0.011 = 0

DELTA = 0.11^2-(-0.011*1*4)

DELTA = 0.11^2+0.044

DELTA = 0.0561

DELTA > 0

x = ((0.11^2+0.044)^(1/2)-0.11)/(1*2) or x = (-(0.11^2+0.044)^(1/2)-0.11)/(1*2)

x = ((0.11^2+0.044)^(1/2)-0.11)/2 or x = (-((0.11^2+0.044)^(1/2)+0.11))/2

(x+((0.11^2+0.044)^(1/2)+0.11)/2)*(x-(((0.11^2+0.044)^(1/2)-0.11)/2)) = 0

((x+((0.11^2+0.044)^(1/2)+0.11)/2)*(x-(((0.11^2+0.044)^(1/2)-0.11)/2)))/(0.1-x) = 0

((x+((0.11^2+0.044)^(1/2)+0.11)/2)*(x-(((0.11^2+0.044)^(1/2)-0.11)/2)))/(0.1-x) = 0 // * 0.1-x

(x+((0.11^2+0.044)^(1/2)+0.11)/2)*(x-(((0.11^2+0.044)^(1/2)-0.11)/2)) = 0

( x+((0.11^2+0.044)^(1/2)+0.11)/2 )

x+((0.11^2+0.044)^(1/2)+0.11)/2 = 0 // - ((0.11^2+0.044)^(1/2)+0.11)/2

x = -(((0.11^2+0.044)^(1/2)+0.11)/2)

( x-(((0.11^2+0.044)^(1/2)-0.11)/2) )

x-(((0.11^2+0.044)^(1/2)-0.11)/2) = 0 // + ((0.11^2+0.044)^(1/2)-0.11)/2

x = ((0.11^2+0.044)^(1/2)-0.11)/2

x in { -(((0.11^2+0.044)^(1/2)+0.11)/2), ((0.11^2+0.044)^(1/2)-0.11)/2 }

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