0.00000773=2x^2/(3.9-x)

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Solution for 0.00000773=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)

0.00000773 = (2*x^2)/(3.9-x) // - (2*x^2)/(3.9-x)

0.00000773-((2*x^2)/(3.9-x)) = 0

0.00000773-2*x^2*(3.9-x)^-1 = 0

(-2*x^2)/(3.9-x)+0.00000773 = 0

(-2*x^2)/(3.9-x)+(0.00000773*(3.9-x))/(3.9-x) = 0

0.00000773*(3.9-x)-2*x^2 = 0

0.000030147-2*x^2-0.00000773*x = 0

0.000030147-2*x^2-0.00000773*x = 0

0.000030147-2*x^2-0.00000773*x = 0

DELTA = (-0.00000773)^2-(-2*0.000030147*4)

DELTA = 0.000241176

DELTA > 0

x = (0.000241176^(1/2)+0.00000773)/(-2*2) or x = (0.00000773-0.000241176^(1/2))/(-2*2)

x = (0.000241176^(1/2)+0.00000773)/(-4) or x = (0.00000773-0.000241176^(1/2))/(-4)

(x-((0.000241176^(1/2)+0.00000773)/(-4)))*(x-((0.00000773-0.000241176^(1/2))/(-4))) = 0

((x-((0.000241176^(1/2)+0.00000773)/(-4)))*(x-((0.00000773-0.000241176^(1/2))/(-4))))/(3.9-x) = 0

((x-((0.000241176^(1/2)+0.00000773)/(-4)))*(x-((0.00000773-0.000241176^(1/2))/(-4))))/(3.9-x) = 0 // * 3.9-x

(x-((0.000241176^(1/2)+0.00000773)/(-4)))*(x-((0.00000773-0.000241176^(1/2))/(-4))) = 0

( x-((0.00000773-0.000241176^(1/2))/(-4)) )

x-((0.00000773-0.000241176^(1/2))/(-4)) = 0 // + (0.00000773-0.000241176^(1/2))/(-4)

x = (0.00000773-0.000241176^(1/2))/(-4)

( x-((0.000241176^(1/2)+0.00000773)/(-4)) )

x-((0.000241176^(1/2)+0.00000773)/(-4)) = 0 // + (0.000241176^(1/2)+0.00000773)/(-4)

x = (0.000241176^(1/2)+0.00000773)/(-4)

x in { (0.00000773-0.000241176^(1/2))/(-4), (0.000241176^(1/2)+0.00000773)/(-4) }

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