7.94*10^-3=(x^2)/(0.5-x)

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Solution for 7.94*10^-3=(x^2)/(0.5-x) equation: 


D( x )

0.5-x = 0

0.5-x = 0

0.5-x = 0

0.5-x = 0 // - 0.5

-x = -0.5 // * -1

x = 0.5

x in (-oo:0.5) U (0.5:+oo)

7.94*10^-3 = (x^2)/(0.5-x) // - (x^2)/(0.5-x)

7.94*10^-3-((x^2)/(0.5-x)) = 0

(-1*x^2)/(0.5-x)+0.00794 = 0

(-1*x^2)/(0.5-x)+(0.00794*(0.5-x))/(0.5-x) = 0

0.00794*(0.5-x)-1*x^2 = 0

0.00397-x^2-0.00794*x = 0

0.00397-x^2-0.00794*x = 0

0.00397-x^2-0.00794*x = 0

DELTA = (-0.00794)^2-(-1*0.00397*4)

DELTA = 0.00794^2+0.01588

DELTA = 0.01594304

DELTA > 0

x = ((0.00794^2+0.01588)^(1/2)+0.00794)/(-1*2) or x = (0.00794-(0.00794^2+0.01588)^(1/2))/(-1*2)

x = ((0.00794^2+0.01588)^(1/2)+0.00794)/(-2) or x = (0.00794-(0.00794^2+0.01588)^(1/2))/(-2)

(x-(((0.00794^2+0.01588)^(1/2)+0.00794)/(-2)))*(x-((0.00794-(0.00794^2+0.01588)^(1/2))/(-2))) = 0

((x-(((0.00794^2+0.01588)^(1/2)+0.00794)/(-2)))*(x-((0.00794-(0.00794^2+0.01588)^(1/2))/(-2))))/(0.5-x) = 0

((x-(((0.00794^2+0.01588)^(1/2)+0.00794)/(-2)))*(x-((0.00794-(0.00794^2+0.01588)^(1/2))/(-2))))/(0.5-x) = 0 // * 0.5-x

(x-(((0.00794^2+0.01588)^(1/2)+0.00794)/(-2)))*(x-((0.00794-(0.00794^2+0.01588)^(1/2))/(-2))) = 0

( x-(((0.00794^2+0.01588)^(1/2)+0.00794)/(-2)) )

x-(((0.00794^2+0.01588)^(1/2)+0.00794)/(-2)) = 0 // + ((0.00794^2+0.01588)^(1/2)+0.00794)/(-2)

x = ((0.00794^2+0.01588)^(1/2)+0.00794)/(-2)

( x-((0.00794-(0.00794^2+0.01588)^(1/2))/(-2)) )

x-((0.00794-(0.00794^2+0.01588)^(1/2))/(-2)) = 0 // + (0.00794-(0.00794^2+0.01588)^(1/2))/(-2)

x = (0.00794-(0.00794^2+0.01588)^(1/2))/(-2)

x in { ((0.00794^2+0.01588)^(1/2)+0.00794)/(-2), (0.00794-(0.00794^2+0.01588)^(1/2))/(-2) }

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