(x^2)/((2-2x)^2)=8.8

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Solution for (x^2)/((2-2x)^2)=8.8 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) = 8.8 // - 8.8

(x^2)/((2-(2*x))^2)-8.8 = 0

(x^2)/((2-2*x)^2)-8.8 = 0

(x^2)/((2-2*x)^2)+(-8.8*(2-2*x)^2)/((2-2*x)^2) = 0

x^2-8.8*(2-2*x)^2 = 0

70.4*x-34.2*x^2-35.2 = 0

70.4*x-34.2*x^2-35.2 = 0

70.4*x-34.2*x^2-35.2 = 0

DELTA = 70.4^2-(-35.2*(-34.2)*4)

DELTA = 70.4^2-4815.36

DELTA = 140.8

DELTA > 0

x = ((70.4^2-4815.36)^(1/2)-70.4)/(-34.2*2) or x = (-(70.4^2-4815.36)^(1/2)-70.4)/(-34.2*2)

x = -0.01461988*((70.4^2-4815.36)^(1/2)-70.4) or x = 0.01461988*((70.4^2-4815.36)^(1/2)+70.4)

(x+0.01461988*((70.4^2-4815.36)^(1/2)-70.4))*(x-0.01461988*((70.4^2-4815.36)^(1/2)+70.4)) = 0

((x+0.01461988*((70.4^2-4815.36)^(1/2)-70.4))*(x-0.01461988*((70.4^2-4815.36)^(1/2)+70.4)))/((2-2*x)^2) = 0

((x+0.01461988*((70.4^2-4815.36)^(1/2)-70.4))*(x-0.01461988*((70.4^2-4815.36)^(1/2)+70.4)))/((2-2*x)^2) = 0 // * (2-2*x)^2

(x+0.01461988*((70.4^2-4815.36)^(1/2)-70.4))*(x-0.01461988*((70.4^2-4815.36)^(1/2)+70.4)) = 0

( x+0.01461988*((70.4^2-4815.36)^(1/2)-70.4) )

x+0.01461988*((70.4^2-4815.36)^(1/2)-70.4) = 0 // - 0.01461988*((70.4^2-4815.36)^(1/2)-70.4)

x = -(0.01461988*((70.4^2-4815.36)^(1/2)-70.4))

x = -0.01461988*((70.4^2-4815.36)^(1/2)-70.4)

( x-0.01461988*((70.4^2-4815.36)^(1/2)+70.4) )

x-0.01461988*((70.4^2-4815.36)^(1/2)+70.4) = 0 // + -0.01461988*((70.4^2-4815.36)^(1/2)+70.4)

x = -(-0.01461988*((70.4^2-4815.36)^(1/2)+70.4))

x = 0.01461988*((70.4^2-4815.36)^(1/2)+70.4)

x in { -0.01461988*((70.4^2-4815.36)^(1/2)-70.4), 0.01461988*((70.4^2-4815.36)^(1/2)+70.4) }

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