0.2=x^2/(x-0.002)

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Solution for 0.2=x^2/(x-0.002) equation: 


D( x )

x-0.002 = 0

x-0.002 = 0

x-0.002 = 0

x-0.002 = 0 // + 0.002

x = 0.002

x in (-oo:0.002) U (0.002:+oo)

0.2 = (x^2)/(x-0.002) // - (x^2)/(x-0.002)

0.2-((x^2)/(x-0.002)) = 0

(-1*x^2)/(x-0.002)+0.2 = 0

(-1*x^2)/(x-0.002)+(0.2*(x-0.002))/(x-0.002) = 0

0.2*(x-0.002)-1*x^2 = 0

0.2*x-x^2-0.0004 = 0

0.2*x-x^2-0.0004 = 0

0.2*x-x^2-0.0004 = 0

DELTA = 0.2^2-(-1*(-0.0004)*4)

DELTA = 0.2^2-0.0016

DELTA = 0.0384

DELTA > 0

x = ((0.2^2-0.0016)^(1/2)-0.2)/(-1*2) or x = (-(0.2^2-0.0016)^(1/2)-0.2)/(-1*2)

x = ((0.2^2-0.0016)^(1/2)-0.2)/(-2) or x = ((0.2^2-0.0016)^(1/2)+0.2)/2

(x-(((0.2^2-0.0016)^(1/2)-0.2)/(-2)))*(x-(((0.2^2-0.0016)^(1/2)+0.2)/2)) = 0

((x-(((0.2^2-0.0016)^(1/2)-0.2)/(-2)))*(x-(((0.2^2-0.0016)^(1/2)+0.2)/2)))/(x-0.002) = 0

((x-(((0.2^2-0.0016)^(1/2)-0.2)/(-2)))*(x-(((0.2^2-0.0016)^(1/2)+0.2)/2)))/(x-0.002) = 0 // * x-0.002

(x-(((0.2^2-0.0016)^(1/2)-0.2)/(-2)))*(x-(((0.2^2-0.0016)^(1/2)+0.2)/2)) = 0

( x-(((0.2^2-0.0016)^(1/2)+0.2)/2) )

x-(((0.2^2-0.0016)^(1/2)+0.2)/2) = 0 // + ((0.2^2-0.0016)^(1/2)+0.2)/2

x = ((0.2^2-0.0016)^(1/2)+0.2)/2

( x-(((0.2^2-0.0016)^(1/2)-0.2)/(-2)) )

x-(((0.2^2-0.0016)^(1/2)-0.2)/(-2)) = 0 // + ((0.2^2-0.0016)^(1/2)-0.2)/(-2)

x = ((0.2^2-0.0016)^(1/2)-0.2)/(-2)

x in { ((0.2^2-0.0016)^(1/2)+0.2)/2, ((0.2^2-0.0016)^(1/2)-0.2)/(-2) }

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