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

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Solution for 7.4=(x*x)/((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)

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

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

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

(-1*x^2)/((2-2*x)^2)+7.4 = 0

(-1*x^2)/((2-2*x)^2)+(7.4*(2-2*x)^2)/((2-2*x)^2) = 0

7.4*(2-2*x)^2-1*x^2 = 0

28.6*x^2-59.2*x+29.6 = 0

28.6*x^2-59.2*x+29.6 = 0

28.6*x^2-59.2*x+29.6 = 0

DELTA = (-59.2)^2-(4*28.6*29.6)

DELTA = 59.2^2-3386.24

DELTA = 118.4

DELTA > 0

x = ((59.2^2-3386.24)^(1/2)+59.2)/(2*28.6) or x = (59.2-(59.2^2-3386.24)^(1/2))/(2*28.6)

x = 0.01748252*((59.2^2-3386.24)^(1/2)+59.2) or x = 0.01748252*(59.2-(59.2^2-3386.24)^(1/2))

(x-0.01748252*(59.2-(59.2^2-3386.24)^(1/2)))*(x-0.01748252*((59.2^2-3386.24)^(1/2)+59.2)) = 0

((x-0.01748252*(59.2-(59.2^2-3386.24)^(1/2)))*(x-0.01748252*((59.2^2-3386.24)^(1/2)+59.2)))/((2-2*x)^2) = 0

((x-0.01748252*(59.2-(59.2^2-3386.24)^(1/2)))*(x-0.01748252*((59.2^2-3386.24)^(1/2)+59.2)))/((2-2*x)^2) = 0 // * (2-2*x)^2

(x-0.01748252*(59.2-(59.2^2-3386.24)^(1/2)))*(x-0.01748252*((59.2^2-3386.24)^(1/2)+59.2)) = 0

( x-0.01748252*((59.2^2-3386.24)^(1/2)+59.2) )

x-0.01748252*((59.2^2-3386.24)^(1/2)+59.2) = 0 // + -0.01748252*((59.2^2-3386.24)^(1/2)+59.2)

x = -(-0.01748252*((59.2^2-3386.24)^(1/2)+59.2))

x = 0.01748252*((59.2^2-3386.24)^(1/2)+59.2)

( x-0.01748252*(59.2-(59.2^2-3386.24)^(1/2)) )

x-0.01748252*(59.2-(59.2^2-3386.24)^(1/2)) = 0 // + -0.01748252*(59.2-(59.2^2-3386.24)^(1/2))

x = -(-0.01748252*(59.2-(59.2^2-3386.24)^(1/2)))

x = 0.01748252*(59.2-(59.2^2-3386.24)^(1/2))

x in { 0.01748252*((59.2^2-3386.24)^(1/2)+59.2), 0.01748252*(59.2-(59.2^2-3386.24)^(1/2)) }

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