(x^2)/(2-2x)^2=6.9

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Solution for (x^2)/(2-2x)^2=6.9 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) = 6.9 // - 6.9

(x^2)/((2-(2*x))^2)-6.9 = 0

(x^2)/((2-2*x)^2)-6.9 = 0

(x^2)/((2-2*x)^2)+(-6.9*(2-2*x)^2)/((2-2*x)^2) = 0

x^2-6.9*(2-2*x)^2 = 0

55.2*x-26.6*x^2-27.6 = 0

55.2*x-26.6*x^2-27.6 = 0

55.2*x-26.6*x^2-27.6 = 0

DELTA = 55.2^2-(-27.6*(-26.6)*4)

DELTA = 55.2^2-2936.64

DELTA = 110.4

DELTA > 0

x = ((55.2^2-2936.64)^(1/2)-55.2)/(-26.6*2) or x = (-(55.2^2-2936.64)^(1/2)-55.2)/(-26.6*2)

x = -0.01879699*((55.2^2-2936.64)^(1/2)-55.2) or x = 0.01879699*((55.2^2-2936.64)^(1/2)+55.2)

(x+0.01879699*((55.2^2-2936.64)^(1/2)-55.2))*(x-0.01879699*((55.2^2-2936.64)^(1/2)+55.2)) = 0

((x+0.01879699*((55.2^2-2936.64)^(1/2)-55.2))*(x-0.01879699*((55.2^2-2936.64)^(1/2)+55.2)))/((2-2*x)^2) = 0

((x+0.01879699*((55.2^2-2936.64)^(1/2)-55.2))*(x-0.01879699*((55.2^2-2936.64)^(1/2)+55.2)))/((2-2*x)^2) = 0 // * (2-2*x)^2

(x+0.01879699*((55.2^2-2936.64)^(1/2)-55.2))*(x-0.01879699*((55.2^2-2936.64)^(1/2)+55.2)) = 0

( x+0.01879699*((55.2^2-2936.64)^(1/2)-55.2) )

x+0.01879699*((55.2^2-2936.64)^(1/2)-55.2) = 0 // - 0.01879699*((55.2^2-2936.64)^(1/2)-55.2)

x = -(0.01879699*((55.2^2-2936.64)^(1/2)-55.2))

x = -0.01879699*((55.2^2-2936.64)^(1/2)-55.2)

( x-0.01879699*((55.2^2-2936.64)^(1/2)+55.2) )

x-0.01879699*((55.2^2-2936.64)^(1/2)+55.2) = 0 // + -0.01879699*((55.2^2-2936.64)^(1/2)+55.2)

x = -(-0.01879699*((55.2^2-2936.64)^(1/2)+55.2))

x = 0.01879699*((55.2^2-2936.64)^(1/2)+55.2)

x in { -0.01879699*((55.2^2-2936.64)^(1/2)-55.2), 0.01879699*((55.2^2-2936.64)^(1/2)+55.2) }

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