(9.5*10^-7)=(x^2)/(0.10-x)

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Solution for (9.5*10^-7)=(x^2)/(0.10-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)

9.5*10^-7 = (x^2)/(0.1-x) // - (x^2)/(0.1-x)

9.5*10^-7-((x^2)/(0.1-x)) = 0

(-1*x^2)/(0.1-x)+0.00000095 = 0

(-1*x^2)/(0.1-x)+(0.00000095*(0.1-x))/(0.1-x) = 0

0.00000095*(0.1-x)-1*x^2 = 0

0.000000095-x^2-0.00000095*x = 0

0.000000095-x^2-0.00000095*x = 0

0.000000095-x^2-0.00000095*x = 0

DELTA = (-0.00000095)^2-(-1*0.000000095*4)

DELTA = 0.00000038

DELTA > 0

x = (0.00000038^(1/2)+0.00000095)/(-1*2) or x = (0.00000095-0.00000038^(1/2))/(-1*2)

x = (0.00000038^(1/2)+0.00000095)/(-2) or x = (0.00000095-0.00000038^(1/2))/(-2)

(x-((0.00000038^(1/2)+0.00000095)/(-2)))*(x-((0.00000095-0.00000038^(1/2))/(-2))) = 0

((x-((0.00000038^(1/2)+0.00000095)/(-2)))*(x-((0.00000095-0.00000038^(1/2))/(-2))))/(0.1-x) = 0

((x-((0.00000038^(1/2)+0.00000095)/(-2)))*(x-((0.00000095-0.00000038^(1/2))/(-2))))/(0.1-x) = 0 // * 0.1-x

(x-((0.00000038^(1/2)+0.00000095)/(-2)))*(x-((0.00000095-0.00000038^(1/2))/(-2))) = 0

( x-((0.00000038^(1/2)+0.00000095)/(-2)) )

x-((0.00000038^(1/2)+0.00000095)/(-2)) = 0 // + (0.00000038^(1/2)+0.00000095)/(-2)

x = (0.00000038^(1/2)+0.00000095)/(-2)

( x-((0.00000095-0.00000038^(1/2))/(-2)) )

x-((0.00000095-0.00000038^(1/2))/(-2)) = 0 // + (0.00000095-0.00000038^(1/2))/(-2)

x = (0.00000095-0.00000038^(1/2))/(-2)

x in { (0.00000038^(1/2)+0.00000095)/(-2), (0.00000095-0.00000038^(1/2))/(-2) }

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