0,02=x^2/(0,1-2x)^2

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Solution for 0,02=x^2/(0,1-2x)^2 equation: 


D( x )

(0.1-(2*x))^2 = 0

(0.1-(2*x))^2 = 0

(0.1-(2*x))^2 = 0

(0.1-2*x)^2 = 0

0.1-2*x = 0 // - 0.1

-2*x = -0.1 // : -2

x = -0.1/(-2)

x = 0.05

x in (-oo:0.05) U (0.05:+oo)

0.02 = (x^2)/((0.1-(2*x))^2) // - (x^2)/((0.1-(2*x))^2)

0.02-((x^2)/((0.1-(2*x))^2)) = 0

0.02-((x^2)/((0.1-2*x)^2)) = 0

(-1*x^2)/((0.1-2*x)^2)+0.02 = 0

(-1*x^2)/((0.1-2*x)^2)+(0.02*(0.1-2*x)^2)/((0.1-2*x)^2) = 0

0.02*(0.1-2*x)^2-1*x^2 = 0

0.02*0.1^2-0.92*x^2-0.008*x = 0

0.02*0.1^2-0.92*x^2-0.008*x = 0

0.02*0.1^2-0.92*x^2-0.008*x = 0

DELTA = (-0.008)^2-(-0.92*0.02*4*0.1^2)

DELTA = 0.008^2+0.0736*0.1^2

DELTA = 0.0008

DELTA > 0

x = ((0.008^2+0.0736*0.1^2)^(1/2)+0.008)/(-0.92*2) or x = (0.008-(0.008^2+0.0736*0.1^2)^(1/2))/(-0.92*2)

x = -0.54347826*((0.008^2+0.0736*0.1^2)^(1/2)+0.008) or x = -0.54347826*(0.008-(0.008^2+0.0736*0.1^2)^(1/2))

(x+0.54347826*((0.008^2+0.0736*0.1^2)^(1/2)+0.008))*(x+0.54347826*(0.008-(0.008^2+0.0736*0.1^2)^(1/2))) = 0

((x+0.54347826*((0.008^2+0.0736*0.1^2)^(1/2)+0.008))*(x+0.54347826*(0.008-(0.008^2+0.0736*0.1^2)^(1/2))))/((0.1-2*x)^2) = 0

((x+0.54347826*((0.008^2+0.0736*0.1^2)^(1/2)+0.008))*(x+0.54347826*(0.008-(0.008^2+0.0736*0.1^2)^(1/2))))/((0.1-2*x)^2) = 0 // * (0.1-2*x)^2

(x+0.54347826*((0.008^2+0.0736*0.1^2)^(1/2)+0.008))*(x+0.54347826*(0.008-(0.008^2+0.0736*0.1^2)^(1/2))) = 0

( x+0.54347826*((0.008^2+0.0736*0.1^2)^(1/2)+0.008) )

x+0.54347826*((0.008^2+0.0736*0.1^2)^(1/2)+0.008) = 0 // - 0.54347826*((0.008^2+0.0736*0.1^2)^(1/2)+0.008)

x = -(0.54347826*((0.008^2+0.0736*0.1^2)^(1/2)+0.008))

x = -0.54347826*((0.008^2+0.0736*0.1^2)^(1/2)+0.008)

( x+0.54347826*(0.008-(0.008^2+0.0736*0.1^2)^(1/2)) )

x+0.54347826*(0.008-(0.008^2+0.0736*0.1^2)^(1/2)) = 0 // - 0.54347826*(0.008-(0.008^2+0.0736*0.1^2)^(1/2))

x = -(0.54347826*(0.008-(0.008^2+0.0736*0.1^2)^(1/2)))

x = -0.54347826*(0.008-(0.008^2+0.0736*0.1^2)^(1/2))

x in { -0.54347826*((0.008^2+0.0736*0.1^2)^(1/2)+0.008), -0.54347826*(0.008-(0.008^2+0.0736*0.1^2)^(1/2)) }

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