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

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


D( x )

(0.2-x)^2 = 0

(0.2-x)^2 = 0

(0.2-x)^2 = 0

0.2-x = 0 // - 0.2

-x = -0.2 // * -1

x = 0.2

x in (-oo:0.2) U (0.2:+oo)

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

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

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

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

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

2*x^2-0.8*x-0.2^2+0.08 = 0

2*x^2-0.8*x-0.2^2+0.08 = 0

2*x^2-0.8*x-0.2^2+0.08 = 0

DELTA = (-0.8)^2-(2*4*(0.08-0.2^2))

DELTA = 0.8^2-8*(0.08-0.2^2)

DELTA = 0.32

DELTA > 0

x = ((0.8^2-8*(0.08-0.2^2))^(1/2)+0.8)/(2*2) or x = (0.8-(0.8^2-8*(0.08-0.2^2))^(1/2))/(2*2)

x = ((0.8^2-8*(0.08-0.2^2))^(1/2)+0.8)/4 or x = (0.8-(0.8^2-8*(0.08-0.2^2))^(1/2))/4

(x-((0.8-(0.8^2-8*(0.08-0.2^2))^(1/2))/4))*(x-(((0.8^2-8*(0.08-0.2^2))^(1/2)+0.8)/4)) = 0

((x-((0.8-(0.8^2-8*(0.08-0.2^2))^(1/2))/4))*(x-(((0.8^2-8*(0.08-0.2^2))^(1/2)+0.8)/4)))/((0.2-x)^2) = 0

((x-((0.8-(0.8^2-8*(0.08-0.2^2))^(1/2))/4))*(x-(((0.8^2-8*(0.08-0.2^2))^(1/2)+0.8)/4)))/((0.2-x)^2) = 0 // * (0.2-x)^2

(x-((0.8-(0.8^2-8*(0.08-0.2^2))^(1/2))/4))*(x-(((0.8^2-8*(0.08-0.2^2))^(1/2)+0.8)/4)) = 0

( x-(((0.8^2-8*(0.08-0.2^2))^(1/2)+0.8)/4) )

x-(((0.8^2-8*(0.08-0.2^2))^(1/2)+0.8)/4) = 0 // + ((0.8^2-8*(0.08-0.2^2))^(1/2)+0.8)/4

x = ((0.8^2-8*(0.08-0.2^2))^(1/2)+0.8)/4

( x-((0.8-(0.8^2-8*(0.08-0.2^2))^(1/2))/4) )

x-((0.8-(0.8^2-8*(0.08-0.2^2))^(1/2))/4) = 0 // + (0.8-(0.8^2-8*(0.08-0.2^2))^(1/2))/4

x = (0.8-(0.8^2-8*(0.08-0.2^2))^(1/2))/4

x in { ((0.8^2-8*(0.08-0.2^2))^(1/2)+0.8)/4, (0.8-(0.8^2-8*(0.08-0.2^2))^(1/2))/4 }

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