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

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Solution for 6.50=x^2/(2-2x)^2 equation: 


D( x )

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

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

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

(2-2*x)^2 = 0

2-2*x = 0 // - 2

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

x = -2/(-2)

x = 1

x in (-oo:1) U (1:+oo)

6.5 = (x^2)/((2-(2*x))^2) // - (x^2)/((2-(2*x))^2)

6.5-((x^2)/((2-(2*x))^2)) = 0

6.5-((x^2)/((2-2*x)^2)) = 0

(-1*x^2)/((2-2*x)^2)+6.5 = 0

(-1*x^2)/((2-2*x)^2)+(6.5*(2-2*x)^2)/((2-2*x)^2) = 0

6.5*(2-2*x)^2-1*x^2 = 0

25*x^2-52*x+26 = 0

25*x^2-52*x+26 = 0

25*x^2-52*x+26 = 0

DELTA = (-52)^2-(4*25*26)

DELTA = 104

DELTA > 0

x = (104^(1/2)+52)/(2*25) or x = (52-104^(1/2))/(2*25)

x = (2*26^(1/2)+52)/50 or x = (52-2*26^(1/2))/50

(x-((52-2*26^(1/2))/50))*(x-((2*26^(1/2)+52)/50)) = 0

((x-((52-2*26^(1/2))/50))*(x-((2*26^(1/2)+52)/50)))/((2-2*x)^2) = 0

((x-((52-2*26^(1/2))/50))*(x-((2*26^(1/2)+52)/50)))/((2-2*x)^2) = 0 // * (2-2*x)^2

(x-((52-2*26^(1/2))/50))*(x-((2*26^(1/2)+52)/50)) = 0

( x-((2*26^(1/2)+52)/50) )

x-((2*26^(1/2)+52)/50) = 0 // + (2*26^(1/2)+52)/50

x = (2*26^(1/2)+52)/50

( x-((52-2*26^(1/2))/50) )

x-((52-2*26^(1/2))/50) = 0 // + (52-2*26^(1/2))/50

x = (52-2*26^(1/2))/50

x in { (2*26^(1/2)+52)/50, (52-2*26^(1/2))/50 }

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