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

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Solution for 6.60=(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)

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

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

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

(-1*x^2)/((2-2*x)^2)+6.6 = 0

(-1*x^2)/((2-2*x)^2)+(6.6*(2-2*x)^2)/((2-2*x)^2) = 0

6.6*(2-2*x)^2-1*x^2 = 0

25.4*x^2-52.8*x+26.4 = 0

25.4*x^2-52.8*x+26.4 = 0

25.4*x^2-52.8*x+26.4 = 0

DELTA = (-52.8)^2-(4*25.4*26.4)

DELTA = 52.8^2-2682.24

DELTA = 105.6

DELTA > 0

x = ((52.8^2-2682.24)^(1/2)+52.8)/(2*25.4) or x = (52.8-(52.8^2-2682.24)^(1/2))/(2*25.4)

x = 0.01968504*((52.8^2-2682.24)^(1/2)+52.8) or x = 0.01968504*(52.8-(52.8^2-2682.24)^(1/2))

(x-0.01968504*(52.8-(52.8^2-2682.24)^(1/2)))*(x-0.01968504*((52.8^2-2682.24)^(1/2)+52.8)) = 0

((x-0.01968504*(52.8-(52.8^2-2682.24)^(1/2)))*(x-0.01968504*((52.8^2-2682.24)^(1/2)+52.8)))/((2-2*x)^2) = 0

((x-0.01968504*(52.8-(52.8^2-2682.24)^(1/2)))*(x-0.01968504*((52.8^2-2682.24)^(1/2)+52.8)))/((2-2*x)^2) = 0 // * (2-2*x)^2

(x-0.01968504*(52.8-(52.8^2-2682.24)^(1/2)))*(x-0.01968504*((52.8^2-2682.24)^(1/2)+52.8)) = 0

( x-0.01968504*((52.8^2-2682.24)^(1/2)+52.8) )

x-0.01968504*((52.8^2-2682.24)^(1/2)+52.8) = 0 // + -0.01968504*((52.8^2-2682.24)^(1/2)+52.8)

x = -(-0.01968504*((52.8^2-2682.24)^(1/2)+52.8))

x = 0.01968504*((52.8^2-2682.24)^(1/2)+52.8)

( x-0.01968504*(52.8-(52.8^2-2682.24)^(1/2)) )

x-0.01968504*(52.8-(52.8^2-2682.24)^(1/2)) = 0 // + -0.01968504*(52.8-(52.8^2-2682.24)^(1/2))

x = -(-0.01968504*(52.8-(52.8^2-2682.24)^(1/2)))

x = 0.01968504*(52.8-(52.8^2-2682.24)^(1/2))

x in { 0.01968504*((52.8^2-2682.24)^(1/2)+52.8), 0.01968504*(52.8-(52.8^2-2682.24)^(1/2)) }

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