10^-6.35=(2*x^2)/(0.25-x)

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Solution for 10^-6.35=(2*x^2)/(0.25-x) equation:


D( x )

0.25-x = 0

0.25-x = 0

0.25-x = 0

0.25-x = 0 // - 0.25

-x = -0.25 // * -1

x = 0.25

x in (-oo:0.25) U (0.25:+oo)

10^-6.35 = (2*x^2)/(0.25-x) // - (2*x^2)/(0.25-x)

10^-6.35-((2*x^2)/(0.25-x)) = 0

10^-6.35-2*x^2*(0.25-x)^-1 = 0

(-2*x^2)/(0.25-x)+10^-6.35 = 0

(-2*x^2)/(0.25-x)+(10^-6.35*(0.25-x))/(0.25-x) = 0

10^-6.35*(0.25-x)-2*x^2 = 0

0.25*10^-6.35-2*x^2-10^-6.35*x = 0

0.25*10^-6.35-2*x^2-10^-6.35*x = 0

0.25*10^-6.35-2*x^2-10^-6.35*x = 0

DELTA = (-10^-6.35)^2-(-2*0.25*4*10^-6.35)

DELTA = 2*10^-6.35

DELTA = 0.0000009

DELTA > 0

x = (10^-6.35+(2*10^-6.35)^(1/2))/(-2*2) or x = (10^-6.35-(2*10^-6.35)^(1/2))/(-2*2)

x = (10^-6.35+2^(1/2)*10^-3.175)/(-4) or x = (10^-6.35-(2^(1/2)*10^-3.175))/(-4)

(x-((10^-6.35+2^(1/2)*10^-3.175)/(-4)))*(x-((10^-6.35-(2^(1/2)*10^-3.175))/(-4))) = 0

((x-((10^-6.35+2^(1/2)*10^-3.175)/(-4)))*(x-((10^-6.35-(2^(1/2)*10^-3.175))/(-4))))/(0.25-x) = 0

((x-((10^-6.35+2^(1/2)*10^-3.175)/(-4)))*(x-((10^-6.35-(2^(1/2)*10^-3.175))/(-4))))/(0.25-x) = 0 // * 0.25-x

(x-((10^-6.35+2^(1/2)*10^-3.175)/(-4)))*(x-((10^-6.35-(2^(1/2)*10^-3.175))/(-4))) = 0

( x-((10^-6.35+2^(1/2)*10^-3.175)/(-4)) )

x-((10^-6.35+2^(1/2)*10^-3.175)/(-4)) = 0 // + (10^-6.35+2^(1/2)*10^-3.175)/(-4)

x = (10^-6.35+2^(1/2)*10^-3.175)/(-4)

( x-((10^-6.35-(2^(1/2)*10^-3.175))/(-4)) )

x-((10^-6.35-(2^(1/2)*10^-3.175))/(-4)) = 0 // + (10^-6.35-(2^(1/2)*10^-3.175))/(-4)

x = (10^-6.35-(2^(1/2)*10^-3.175))/(-4)

x in { (10^-6.35+2^(1/2)*10^-3.175)/(-4), (10^-6.35-(2^(1/2)*10^-3.175))/(-4) }

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