1.8*10^(-5)=x^2/(0.1-x)

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Solution for 1.8*10^(-5)=x^2/(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)

1.8*10^-5 = (x^2)/(0.1-x) // - (x^2)/(0.1-x)

1.8*10^-5-((x^2)/(0.1-x)) = 0

(-1*x^2)/(0.1-x)+0.000018 = 0

(-1*x^2)/(0.1-x)+(0.000018*(0.1-x))/(0.1-x) = 0

0.000018*(0.1-x)-1*x^2 = 0

0.0000018-x^2-0.000018*x = 0

0.0000018-x^2-0.000018*x = 0

0.0000018-x^2-0.000018*x = 0

DELTA = (-0.000018)^2-(-1*0.0000018*4)

DELTA = 0.0000072

DELTA > 0

x = (0.0000072^(1/2)+0.000018)/(-1*2) or x = (0.000018-0.0000072^(1/2))/(-1*2)

x = (0.0000072^(1/2)+0.000018)/(-2) or x = (0.000018-0.0000072^(1/2))/(-2)

(x-((0.0000072^(1/2)+0.000018)/(-2)))*(x-((0.000018-0.0000072^(1/2))/(-2))) = 0

((x-((0.0000072^(1/2)+0.000018)/(-2)))*(x-((0.000018-0.0000072^(1/2))/(-2))))/(0.1-x) = 0

((x-((0.0000072^(1/2)+0.000018)/(-2)))*(x-((0.000018-0.0000072^(1/2))/(-2))))/(0.1-x) = 0 // * 0.1-x

(x-((0.0000072^(1/2)+0.000018)/(-2)))*(x-((0.000018-0.0000072^(1/2))/(-2))) = 0

( x-((0.0000072^(1/2)+0.000018)/(-2)) )

x-((0.0000072^(1/2)+0.000018)/(-2)) = 0 // + (0.0000072^(1/2)+0.000018)/(-2)

x = (0.0000072^(1/2)+0.000018)/(-2)

( x-((0.000018-0.0000072^(1/2))/(-2)) )

x-((0.000018-0.0000072^(1/2))/(-2)) = 0 // + (0.000018-0.0000072^(1/2))/(-2)

x = (0.000018-0.0000072^(1/2))/(-2)

x in { (0.0000072^(1/2)+0.000018)/(-2), (0.000018-0.0000072^(1/2))/(-2) }

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