4.58*10^-6=(2x)^2/(3.9-x)

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Solution for 4.58*10^-6=(2x)^2/(3.9-x) equation: 


D( x )

3.9-x = 0

3.9-x = 0

3.9-x = 0

3.9-x = 0 // - 3.9

-x = -3.9 // * -1

x = 3.9

x in (-oo:3.9) U (3.9:+oo)

4.58*10^-6 = ((2*x)^2)/(3.9-x) // - ((2*x)^2)/(3.9-x)

4.58*10^-6-(((2*x)^2)/(3.9-x)) = 0

(-1*4*x^2)/(3.9-x)+0.00000458 = 0

(-1*4*x^2)/(3.9-x)+(0.00000458*(3.9-x))/(3.9-x) = 0

0.00000458*(3.9-x)-1*4*x^2 = 0

0.000017862-4*x^2-0.00000458*x = 0

0.000017862-4*x^2-0.00000458*x = 0

0.000017862-4*x^2-0.00000458*x = 0

DELTA = (-0.00000458)^2-(-4*0.000017862*4)

DELTA = 0.000285792

DELTA > 0

x = (0.000285792^(1/2)+0.00000458)/(-4*2) or x = (0.00000458-0.000285792^(1/2))/(-4*2)

x = (0.000285792^(1/2)+0.00000458)/(-8) or x = (0.00000458-0.000285792^(1/2))/(-8)

(x-((0.000285792^(1/2)+0.00000458)/(-8)))*(x-((0.00000458-0.000285792^(1/2))/(-8))) = 0

((x-((0.000285792^(1/2)+0.00000458)/(-8)))*(x-((0.00000458-0.000285792^(1/2))/(-8))))/(3.9-x) = 0

((x-((0.000285792^(1/2)+0.00000458)/(-8)))*(x-((0.00000458-0.000285792^(1/2))/(-8))))/(3.9-x) = 0 // * 3.9-x

(x-((0.000285792^(1/2)+0.00000458)/(-8)))*(x-((0.00000458-0.000285792^(1/2))/(-8))) = 0

( x-((0.00000458-0.000285792^(1/2))/(-8)) )

x-((0.00000458-0.000285792^(1/2))/(-8)) = 0 // + (0.00000458-0.000285792^(1/2))/(-8)

x = (0.00000458-0.000285792^(1/2))/(-8)

( x-((0.000285792^(1/2)+0.00000458)/(-8)) )

x-((0.000285792^(1/2)+0.00000458)/(-8)) = 0 // + (0.000285792^(1/2)+0.00000458)/(-8)

x = (0.000285792^(1/2)+0.00000458)/(-8)

x in { (0.00000458-0.000285792^(1/2))/(-8), (0.000285792^(1/2)+0.00000458)/(-8) }

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