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

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Solution for 6.10=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)

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

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

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

(-1*x^2)/((2-2*x)^2)+6.1 = 0

(-1*x^2)/((2-2*x)^2)+(6.1*(2-2*x)^2)/((2-2*x)^2) = 0

6.1*(2-2*x)^2-1*x^2 = 0

23.4*x^2-48.8*x+24.4 = 0

23.4*x^2-48.8*x+24.4 = 0

23.4*x^2-48.8*x+24.4 = 0

DELTA = (-48.8)^2-(4*23.4*24.4)

DELTA = 48.8^2-2283.84

DELTA = 97.6

DELTA > 0

x = ((48.8^2-2283.84)^(1/2)+48.8)/(2*23.4) or x = (48.8-(48.8^2-2283.84)^(1/2))/(2*23.4)

x = 0.02136752*((48.8^2-2283.84)^(1/2)+48.8) or x = 0.02136752*(48.8-(48.8^2-2283.84)^(1/2))

(x-0.02136752*(48.8-(48.8^2-2283.84)^(1/2)))*(x-0.02136752*((48.8^2-2283.84)^(1/2)+48.8)) = 0

((x-0.02136752*(48.8-(48.8^2-2283.84)^(1/2)))*(x-0.02136752*((48.8^2-2283.84)^(1/2)+48.8)))/((2-2*x)^2) = 0

((x-0.02136752*(48.8-(48.8^2-2283.84)^(1/2)))*(x-0.02136752*((48.8^2-2283.84)^(1/2)+48.8)))/((2-2*x)^2) = 0 // * (2-2*x)^2

(x-0.02136752*(48.8-(48.8^2-2283.84)^(1/2)))*(x-0.02136752*((48.8^2-2283.84)^(1/2)+48.8)) = 0

( x-0.02136752*((48.8^2-2283.84)^(1/2)+48.8) )

x-0.02136752*((48.8^2-2283.84)^(1/2)+48.8) = 0 // + -0.02136752*((48.8^2-2283.84)^(1/2)+48.8)

x = -(-0.02136752*((48.8^2-2283.84)^(1/2)+48.8))

x = 0.02136752*((48.8^2-2283.84)^(1/2)+48.8)

( x-0.02136752*(48.8-(48.8^2-2283.84)^(1/2)) )

x-0.02136752*(48.8-(48.8^2-2283.84)^(1/2)) = 0 // + -0.02136752*(48.8-(48.8^2-2283.84)^(1/2))

x = -(-0.02136752*(48.8-(48.8^2-2283.84)^(1/2)))

x = 0.02136752*(48.8-(48.8^2-2283.84)^(1/2))

x in { 0.02136752*((48.8^2-2283.84)^(1/2)+48.8), 0.02136752*(48.8-(48.8^2-2283.84)^(1/2)) }

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