x^2/(2-2x)^2=7.9

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Solution for x^2/(2-2x)^2=7.9 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) = 7.9 // - 7.9

(x^2)/((2-(2*x))^2)-7.9 = 0

(x^2)/((2-2*x)^2)-7.9 = 0

(x^2)/((2-2*x)^2)+(-7.9*(2-2*x)^2)/((2-2*x)^2) = 0

x^2-7.9*(2-2*x)^2 = 0

63.2*x-30.6*x^2-31.6 = 0

63.2*x-30.6*x^2-31.6 = 0

63.2*x-30.6*x^2-31.6 = 0

DELTA = 63.2^2-(-31.6*(-30.6)*4)

DELTA = 63.2^2-3867.84

DELTA = 126.4

DELTA > 0

x = ((63.2^2-3867.84)^(1/2)-63.2)/(-30.6*2) or x = (-(63.2^2-3867.84)^(1/2)-63.2)/(-30.6*2)

x = -0.01633987*((63.2^2-3867.84)^(1/2)-63.2) or x = 0.01633987*((63.2^2-3867.84)^(1/2)+63.2)

(x+0.01633987*((63.2^2-3867.84)^(1/2)-63.2))*(x-0.01633987*((63.2^2-3867.84)^(1/2)+63.2)) = 0

((x+0.01633987*((63.2^2-3867.84)^(1/2)-63.2))*(x-0.01633987*((63.2^2-3867.84)^(1/2)+63.2)))/((2-2*x)^2) = 0

((x+0.01633987*((63.2^2-3867.84)^(1/2)-63.2))*(x-0.01633987*((63.2^2-3867.84)^(1/2)+63.2)))/((2-2*x)^2) = 0 // * (2-2*x)^2

(x+0.01633987*((63.2^2-3867.84)^(1/2)-63.2))*(x-0.01633987*((63.2^2-3867.84)^(1/2)+63.2)) = 0

( x+0.01633987*((63.2^2-3867.84)^(1/2)-63.2) )

x+0.01633987*((63.2^2-3867.84)^(1/2)-63.2) = 0 // - 0.01633987*((63.2^2-3867.84)^(1/2)-63.2)

x = -(0.01633987*((63.2^2-3867.84)^(1/2)-63.2))

x = -0.01633987*((63.2^2-3867.84)^(1/2)-63.2)

( x-0.01633987*((63.2^2-3867.84)^(1/2)+63.2) )

x-0.01633987*((63.2^2-3867.84)^(1/2)+63.2) = 0 // + -0.01633987*((63.2^2-3867.84)^(1/2)+63.2)

x = -(-0.01633987*((63.2^2-3867.84)^(1/2)+63.2))

x = 0.01633987*((63.2^2-3867.84)^(1/2)+63.2)

x in { -0.01633987*((63.2^2-3867.84)^(1/2)-63.2), 0.01633987*((63.2^2-3867.84)^(1/2)+63.2) }

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