0.00306=((x)(x))/((0.8-2x)(0.8-2x))

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Solution for 0.00306=((x)(x))/((0.8-2x)(0.8-2x)) equation:


D( x )

(0.8-(2*x))*(0.8-(2*x)) = 0

(0.8-(2*x))*(0.8-(2*x)) = 0

(0.8-(2*x))*(0.8-(2*x)) = 0

(0.8-2*x)*(0.8-2*x) = 0

(0.8-2*x)^2 = 0

0.8-2*x = 0 // - 0.8

-2*x = -0.8 // : -2

x = -0.8/(-2)

x = 0.4

x in (-oo:0.4) U (0.4:+oo)

0.00306 = (x*x)/((0.8-(2*x))*(0.8-(2*x))) // - (x*x)/((0.8-(2*x))*(0.8-(2*x)))

0.00306-((x*x)/((0.8-(2*x))*(0.8-(2*x)))) = 0

0.00306-(x^2*(0.8-2*x)^-2) = 0

(-1*x^2)/((0.8-2*x)^2)+0.00306 = 0

(-1*x^2)/((0.8-2*x)^2)+(0.00306*(0.8-2*x)^2)/((0.8-2*x)^2) = 0

0.00306*(0.8-2*x)^2-1*x^2 = 0

0.0019584-0.98776*x^2-0.009792*x = 0

0.0019584-0.98776*x^2-0.009792*x = 0

0.0019584-0.98776*x^2-0.009792*x = 0

DELTA = (-0.009792)^2-(-0.98776*0.0019584*4)

DELTA = 0.009792^2+0.007737716736

DELTA = 0.007833596736

DELTA > 0

x = ((0.009792^2+0.007737716736)^(1/2)+0.009792)/(-0.98776*2) or x = (0.009792-(0.009792^2+0.007737716736)^(1/2))/(-0.98776*2)

x = -0.50619584*((0.009792^2+0.007737716736)^(1/2)+0.009792) or x = -0.50619584*(0.009792-(0.009792^2+0.007737716736)^(1/2))

(x+0.50619584*((0.009792^2+0.007737716736)^(1/2)+0.009792))*(x+0.50619584*(0.009792-(0.009792^2+0.007737716736)^(1/2))) = 0

((x+0.50619584*((0.009792^2+0.007737716736)^(1/2)+0.009792))*(x+0.50619584*(0.009792-(0.009792^2+0.007737716736)^(1/2))))/((0.8-2*x)^2) = 0

((x+0.50619584*((0.009792^2+0.007737716736)^(1/2)+0.009792))*(x+0.50619584*(0.009792-(0.009792^2+0.007737716736)^(1/2))))/((0.8-2*x)^2) = 0 // * (0.8-2*x)^2

(x+0.50619584*((0.009792^2+0.007737716736)^(1/2)+0.009792))*(x+0.50619584*(0.009792-(0.009792^2+0.007737716736)^(1/2))) = 0

( x+0.50619584*((0.009792^2+0.007737716736)^(1/2)+0.009792) )

x+0.50619584*((0.009792^2+0.007737716736)^(1/2)+0.009792) = 0 // - 0.50619584*((0.009792^2+0.007737716736)^(1/2)+0.009792)

x = -(0.50619584*((0.009792^2+0.007737716736)^(1/2)+0.009792))

x = -0.50619584*((0.009792^2+0.007737716736)^(1/2)+0.009792)

( x+0.50619584*(0.009792-(0.009792^2+0.007737716736)^(1/2)) )

x+0.50619584*(0.009792-(0.009792^2+0.007737716736)^(1/2)) = 0 // - 0.50619584*(0.009792-(0.009792^2+0.007737716736)^(1/2))

x = -(0.50619584*(0.009792-(0.009792^2+0.007737716736)^(1/2)))

x = -0.50619584*(0.009792-(0.009792^2+0.007737716736)^(1/2))

x in { -0.50619584*((0.009792^2+0.007737716736)^(1/2)+0.009792), -0.50619584*(0.009792-(0.009792^2+0.007737716736)^(1/2)) }

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