1=(x)(x)/(0.1-x)

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Solution for 1=(x)(x)/(0.1-x) 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)

1 = (x*x)/(0.1-x) // - (x*x)/(0.1-x)

1-((x*x)/(0.1-x)) = 0

1-(x^2*(0.1-x)^-1) = 0

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

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

1*(0.1-x)-1*x^2 = 0

0.1-x^2-x = 0

0.1-x^2-x = 0

0.1-x^2-x = 0

DELTA = (-1)^2-(-1*0.1*4)

DELTA = 1.4

DELTA > 0

x = (1.4^(1/2)+1)/(-1*2) or x = (1-1.4^(1/2))/(-1*2)

x = (1.4^(1/2)+1)/(-2) or x = (1-1.4^(1/2))/(-2)

(x-((1.4^(1/2)+1)/(-2)))*(x-((1-1.4^(1/2))/(-2))) = 0

((x-((1.4^(1/2)+1)/(-2)))*(x-((1-1.4^(1/2))/(-2))))/(0.1-x) = 0

((x-((1.4^(1/2)+1)/(-2)))*(x-((1-1.4^(1/2))/(-2))))/(0.1-x) = 0 // * 0.1-x

(x-((1.4^(1/2)+1)/(-2)))*(x-((1-1.4^(1/2))/(-2))) = 0

( x-((1-1.4^(1/2))/(-2)) )

x-((1-1.4^(1/2))/(-2)) = 0 // + (1-1.4^(1/2))/(-2)

x = (1-1.4^(1/2))/(-2)

( x-((1.4^(1/2)+1)/(-2)) )

x-((1.4^(1/2)+1)/(-2)) = 0 // + (1.4^(1/2)+1)/(-2)

x = (1.4^(1/2)+1)/(-2)

x in { (1-1.4^(1/2))/(-2), (1.4^(1/2)+1)/(-2) }

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