x^2/(2-2x)^2=7.8

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Solution for x^2/(2-2x)^2=7.8 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)

(x^2)/((2-(2*x))^2) = 7.8 // - 7.8

(x^2)/((2-(2*x))^2)-7.8 = 0

(x^2)/((2-2*x)^2)-7.8 = 0

(x^2)/((2-2*x)^2)+(-7.8*(2-2*x)^2)/((2-2*x)^2) = 0

x^2-7.8*(2-2*x)^2 = 0

62.4*x-30.2*x^2-31.2 = 0

62.4*x-30.2*x^2-31.2 = 0

62.4*x-30.2*x^2-31.2 = 0

DELTA = 62.4^2-(-31.2*(-30.2)*4)

DELTA = 62.4^2-3768.96

DELTA = 124.8

DELTA > 0

x = ((62.4^2-3768.96)^(1/2)-62.4)/(-30.2*2) or x = (-(62.4^2-3768.96)^(1/2)-62.4)/(-30.2*2)

x = -0.01655629*((62.4^2-3768.96)^(1/2)-62.4) or x = 0.01655629*((62.4^2-3768.96)^(1/2)+62.4)

(x+0.01655629*((62.4^2-3768.96)^(1/2)-62.4))*(x-0.01655629*((62.4^2-3768.96)^(1/2)+62.4)) = 0

((x+0.01655629*((62.4^2-3768.96)^(1/2)-62.4))*(x-0.01655629*((62.4^2-3768.96)^(1/2)+62.4)))/((2-2*x)^2) = 0

((x+0.01655629*((62.4^2-3768.96)^(1/2)-62.4))*(x-0.01655629*((62.4^2-3768.96)^(1/2)+62.4)))/((2-2*x)^2) = 0 // * (2-2*x)^2

(x+0.01655629*((62.4^2-3768.96)^(1/2)-62.4))*(x-0.01655629*((62.4^2-3768.96)^(1/2)+62.4)) = 0

( x+0.01655629*((62.4^2-3768.96)^(1/2)-62.4) )

x+0.01655629*((62.4^2-3768.96)^(1/2)-62.4) = 0 // - 0.01655629*((62.4^2-3768.96)^(1/2)-62.4)

x = -(0.01655629*((62.4^2-3768.96)^(1/2)-62.4))

x = -0.01655629*((62.4^2-3768.96)^(1/2)-62.4)

( x-0.01655629*((62.4^2-3768.96)^(1/2)+62.4) )

x-0.01655629*((62.4^2-3768.96)^(1/2)+62.4) = 0 // + -0.01655629*((62.4^2-3768.96)^(1/2)+62.4)

x = -(-0.01655629*((62.4^2-3768.96)^(1/2)+62.4))

x = 0.01655629*((62.4^2-3768.96)^(1/2)+62.4)

x in { -0.01655629*((62.4^2-3768.96)^(1/2)-62.4), 0.01655629*((62.4^2-3768.96)^(1/2)+62.4) }

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