x/(10-x)2=9,3*10^-5

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Solution for x/(10-x)2=9,3*10^-5 equation: 


D( x )

(10-x)^2 = 0

(10-x)^2 = 0

(10-x)^2 = 0

10-x = 0 // - 10

-x = -10 // * -1

x = 10

x in (-oo:10) U (10:+oo)

x/((10-x)^2) = 9.3*10^-5 // - 9.3*10^-5

x/((10-x)^2)-(9.3*10^-5) = 0

x/((10-x)^2)-9.3*10^-5 = 0

x/((10-x)^2)-0.000093 = 0

x/((10-x)^2)+(-0.000093*(10-x)^2)/((10-x)^2) = 0

x-0.000093*(10-x)^2 = 0

1.00186*x-0.000093*x^2-0.0093 = 0

1.00186*x-0.000093*x^2-0.0093 = 0

1.00186*x-0.000093*x^2-0.0093 = 0

DELTA = 1.00186^2-(-0.0093*(-0.000093)*4)

DELTA = 1.00186^2-0.0000034596

DELTA = 1.0037200004

DELTA > 0

x = ((1.00186^2-0.0000034596)^(1/2)-1.00186)/(-0.000093*2) or x = (-(1.00186^2-0.0000034596)^(1/2)-1.00186)/(-0.000093*2)

x = -5376.34408602*((1.00186^2-0.0000034596)^(1/2)-1.00186) or x = 5376.34408602*((1.00186^2-0.0000034596)^(1/2)+1.00186)

(x+5376.34408602*((1.00186^2-0.0000034596)^(1/2)-1.00186))*(x-5376.34408602*((1.00186^2-0.0000034596)^(1/2)+1.00186)) = 0

((x+5376.34408602*((1.00186^2-0.0000034596)^(1/2)-1.00186))*(x-5376.34408602*((1.00186^2-0.0000034596)^(1/2)+1.00186)))/((10-x)^2) = 0

((x+5376.34408602*((1.00186^2-0.0000034596)^(1/2)-1.00186))*(x-5376.34408602*((1.00186^2-0.0000034596)^(1/2)+1.00186)))/((10-x)^2) = 0 // * (10-x)^2

(x+5376.34408602*((1.00186^2-0.0000034596)^(1/2)-1.00186))*(x-5376.34408602*((1.00186^2-0.0000034596)^(1/2)+1.00186)) = 0

( x+5376.34408602*((1.00186^2-0.0000034596)^(1/2)-1.00186) )

x+5376.34408602*((1.00186^2-0.0000034596)^(1/2)-1.00186) = 0 // - 5376.34408602*((1.00186^2-0.0000034596)^(1/2)-1.00186)

x = -(5376.34408602*((1.00186^2-0.0000034596)^(1/2)-1.00186))

x = -5376.34408602*((1.00186^2-0.0000034596)^(1/2)-1.00186)

( x-5376.34408602*((1.00186^2-0.0000034596)^(1/2)+1.00186) )

x-5376.34408602*((1.00186^2-0.0000034596)^(1/2)+1.00186) = 0 // + -5376.34408602*((1.00186^2-0.0000034596)^(1/2)+1.00186)

x = -(-5376.34408602*((1.00186^2-0.0000034596)^(1/2)+1.00186))

x = 5376.34408602*((1.00186^2-0.0000034596)^(1/2)+1.00186)

x in { -5376.34408602*((1.00186^2-0.0000034596)^(1/2)-1.00186), 5376.34408602*((1.00186^2-0.0000034596)^(1/2)+1.00186) }

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