0.543=x^2/(0.03-x)^2

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Solution for 0.543=x^2/(0.03-x)^2 equation: 


D( x )

(0.03-x)^2 = 0

(0.03-x)^2 = 0

(0.03-x)^2 = 0

0.03-x = 0 // - 0.03

-x = -0.03 // * -1

x = 0.03

x in (-oo:0.03) U (0.03:+oo)

0.543 = (x^2)/((0.03-x)^2) // - (x^2)/((0.03-x)^2)

0.543-((x^2)/((0.03-x)^2)) = 0

(-1*x^2)/((0.03-x)^2)+0.543 = 0

(-1*x^2)/((0.03-x)^2)+(0.543*(0.03-x)^2)/((0.03-x)^2) = 0

0.543*(0.03-x)^2-1*x^2 = 0

0.0004887-0.457*x^2-0.03258*x = 0

0.0004887-0.457*x^2-0.03258*x = 0

0.0004887-0.457*x^2-0.03258*x = 0

DELTA = (-0.03258)^2-(-0.457*0.0004887*4)

DELTA = 0.03258^2+0.0008933436

DELTA = 0.0019548036

DELTA > 0

x = ((0.03258^2+0.0008933436)^(1/2)+0.03258)/(-0.457*2) or x = (0.03258-(0.03258^2+0.0008933436)^(1/2))/(-0.457*2)

x = -1.0940919*((0.03258^2+0.0008933436)^(1/2)+0.03258) or x = -1.0940919*(0.03258-(0.03258^2+0.0008933436)^(1/2))

(x+1.0940919*((0.03258^2+0.0008933436)^(1/2)+0.03258))*(x+1.0940919*(0.03258-(0.03258^2+0.0008933436)^(1/2))) = 0

((x+1.0940919*((0.03258^2+0.0008933436)^(1/2)+0.03258))*(x+1.0940919*(0.03258-(0.03258^2+0.0008933436)^(1/2))))/((0.03-x)^2) = 0

((x+1.0940919*((0.03258^2+0.0008933436)^(1/2)+0.03258))*(x+1.0940919*(0.03258-(0.03258^2+0.0008933436)^(1/2))))/((0.03-x)^2) = 0 // * (0.03-x)^2

(x+1.0940919*((0.03258^2+0.0008933436)^(1/2)+0.03258))*(x+1.0940919*(0.03258-(0.03258^2+0.0008933436)^(1/2))) = 0

( x+1.0940919*((0.03258^2+0.0008933436)^(1/2)+0.03258) )

x+1.0940919*((0.03258^2+0.0008933436)^(1/2)+0.03258) = 0 // - 1.0940919*((0.03258^2+0.0008933436)^(1/2)+0.03258)

x = -(1.0940919*((0.03258^2+0.0008933436)^(1/2)+0.03258))

x = -1.0940919*((0.03258^2+0.0008933436)^(1/2)+0.03258)

( x+1.0940919*(0.03258-(0.03258^2+0.0008933436)^(1/2)) )

x+1.0940919*(0.03258-(0.03258^2+0.0008933436)^(1/2)) = 0 // - 1.0940919*(0.03258-(0.03258^2+0.0008933436)^(1/2))

x = -(1.0940919*(0.03258-(0.03258^2+0.0008933436)^(1/2)))

x = -1.0940919*(0.03258-(0.03258^2+0.0008933436)^(1/2))

x in { -1.0940919*((0.03258^2+0.0008933436)^(1/2)+0.03258), -1.0940919*(0.03258-(0.03258^2+0.0008933436)^(1/2)) }

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