x=(2x-3/5)^2

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Solution for x=(2x-3/5)^2 equation:


x in (-oo:+oo)

x = (2*x-(3/5))^2 // - (2*x-(3/5))^2

x-(2*x-(3/5))^2 = 0

x-(2*x-3/5)^2 = 0

x-1*(2*x-3/5)^2 = 0

x-1*(2*x-3/5)^2 = 0

17/5*x-4*x^2-9/25 = 0

17/5*x-4*x^2-9/25 = 0

17/5*x-4*x^2-9/25 = 0

DELTA = (17/5)^2-(-4*(-9/25)*4)

DELTA = 29/5

DELTA > 0

x = ((29/5)^(1/2)-17/5)/(-4*2) or x = (-(29/5)^(1/2)-17/5)/(-4*2)

x = ((29/5)^(1/2)-17/5)/(-8) or x = ((29/5)^(1/2)+17/5)/8

(x-(((29/5)^(1/2)-17/5)/(-8)))*(x-(((29/5)^(1/2)+17/5)/8)) = 0

(x-(((29/5)^(1/2)-17/5)/(-8)))*(x-(((29/5)^(1/2)+17/5)/8)) = 0

( x-(((29/5)^(1/2)+17/5)/8) )

x-(((29/5)^(1/2)+17/5)/8) = 0 // + ((29/5)^(1/2)+17/5)/8

x = ((29/5)^(1/2)+17/5)/8

( x-(((29/5)^(1/2)-17/5)/(-8)) )

x-(((29/5)^(1/2)-17/5)/(-8)) = 0 // + ((29/5)^(1/2)-17/5)/(-8)

x = ((29/5)^(1/2)-17/5)/(-8)

x in { ((29/5)^(1/2)+17/5)/8, ((29/5)^(1/2)-17/5)/(-8) }

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