x^2/(0.113-x)=1.3*10^-5

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Solution for x^2/(0.113-x)=1.3*10^-5 equation: 


D( x )

0.113-x = 0

0.113-x = 0

0.113-x = 0

0.113-x = 0 // - 0.113

-x = -0.113 // * -1

x = 0.113

x in (-oo:0.113) U (0.113:+oo)

(x^2)/(0.113-x) = 1.3*10^-5 // - 1.3*10^-5

(x^2)/(0.113-x)-(1.3*10^-5) = 0

(x^2)/(0.113-x)-1.3*10^-5 = 0

(x^2)/(0.113-x)-0.000013 = 0

(x^2)/(0.113-x)+(-0.000013*(0.113-x))/(0.113-x) = 0

x^2-0.000013*(0.113-x) = 0

x^2+0.000013*x-0.000001469 = 0

x^2+0.000013*x-0.000001469 = 0

x^2+0.000013*x-0.000001469 = 0

DELTA = 0.000013^2-(-0.000001469*1*4)

DELTA = 0.000005876

DELTA > 0

x = (0.000005876^(1/2)-0.000013)/(1*2) or x = (-0.000005876^(1/2)-0.000013)/(1*2)

x = (0.000005876^(1/2)-0.000013)/2 or x = (-(0.000005876^(1/2)+0.000013))/2

(x+(0.000005876^(1/2)+0.000013)/2)*(x-((0.000005876^(1/2)-0.000013)/2)) = 0

((x+(0.000005876^(1/2)+0.000013)/2)*(x-((0.000005876^(1/2)-0.000013)/2)))/(0.113-x) = 0

((x+(0.000005876^(1/2)+0.000013)/2)*(x-((0.000005876^(1/2)-0.000013)/2)))/(0.113-x) = 0 // * 0.113-x

(x+(0.000005876^(1/2)+0.000013)/2)*(x-((0.000005876^(1/2)-0.000013)/2)) = 0

( x+(0.000005876^(1/2)+0.000013)/2 )

x+(0.000005876^(1/2)+0.000013)/2 = 0 // - (0.000005876^(1/2)+0.000013)/2

x = -((0.000005876^(1/2)+0.000013)/2)

( x-((0.000005876^(1/2)-0.000013)/2) )

x-((0.000005876^(1/2)-0.000013)/2) = 0 // + (0.000005876^(1/2)-0.000013)/2

x = (0.000005876^(1/2)-0.000013)/2

x in { -((0.000005876^(1/2)+0.000013)/2), (0.000005876^(1/2)-0.000013)/2 }

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