x^2/(0.11-x)=10^4

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Solution for x^2/(0.11-x)=10^4 equation: 


D( x )

0.11-x = 0

0.11-x = 0

0.11-x = 0

0.11-x = 0 // - 0.11

-x = -0.11 // * -1

x = 0.11

x in (-oo:0.11) U (0.11:+oo)

(x^2)/(0.11-x) = 10^4 // - 10^4

(x^2)/(0.11-x)-10^4 = 0

(x^2)/(0.11-x)-10000 = 0

(x^2)/(0.11-x)+(-10000*(0.11-x))/(0.11-x) = 0

x^2-10000*(0.11-x) = 0

x^2+10000*x-1100 = 0

x^2+10000*x-1100 = 0

x^2+10000*x-1100 = 0

DELTA = 10000^2-(-1100*1*4)

DELTA = 100004400

DELTA > 0

x = (100004400^(1/2)-10000)/(1*2) or x = (-100004400^(1/2)-10000)/(1*2)

x = (60*27779^(1/2)-10000)/2 or x = (-60*27779^(1/2)-10000)/2

(x-((-60*27779^(1/2)-10000)/2))*(x-((60*27779^(1/2)-10000)/2)) = 0

((x-((-60*27779^(1/2)-10000)/2))*(x-((60*27779^(1/2)-10000)/2)))/(0.11-x) = 0

((x-((-60*27779^(1/2)-10000)/2))*(x-((60*27779^(1/2)-10000)/2)))/(0.11-x) = 0 // * 0.11-x

(x-((-60*27779^(1/2)-10000)/2))*(x-((60*27779^(1/2)-10000)/2)) = 0

( x-((-60*27779^(1/2)-10000)/2) )

x-((-60*27779^(1/2)-10000)/2) = 0 // + (-60*27779^(1/2)-10000)/2

x = (-60*27779^(1/2)-10000)/2

( x-((60*27779^(1/2)-10000)/2) )

x-((60*27779^(1/2)-10000)/2) = 0 // + (60*27779^(1/2)-10000)/2

x = (60*27779^(1/2)-10000)/2

x in { (-60*27779^(1/2)-10000)/2, (60*27779^(1/2)-10000)/2 }

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