(2.5-x)*(2.5-x)/(2-x)*(2-x)=1.28

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Solution for (2.5-x)*(2.5-x)/(2-x)*(2-x)=1.28 equation: 


D( x )

2-x = 0

2-x = 0

2-x = 0

2-x = 0 // - 2

-x = -2 // * -1

x = 2

x in (-oo:2) U (2:+oo)

(((2.5-x)*(2.5-x))/(2-x))*(2-x) = 1.28 // - 1.28

(((2.5-x)*(2.5-x))/(2-x))*(2-x)-1.28 = 0

(2.5-x)^2-1.28 = 0

(2.5-x)^2-1.28 = 0

x^2-5*x+4.97 = 0

x^2-5*x+4.97 = 0

x^2-5*x+4.97 = 0

DELTA = (-5)^2-(1*4*4.97)

DELTA = 5.12

DELTA > 0

x = (5.12^(1/2)+5)/(1*2) or x = (5-5.12^(1/2))/(1*2)

x = (5.12^(1/2)+5)/2 or x = (5-5.12^(1/2))/2

(x-((5-5.12^(1/2))/2))*(x-((5.12^(1/2)+5)/2)) = 0

(x-((5-5.12^(1/2))/2))*(x-((5.12^(1/2)+5)/2)) = 0

( x-((5-5.12^(1/2))/2) )

x-((5-5.12^(1/2))/2) = 0 // + (5-5.12^(1/2))/2

x = (5-5.12^(1/2))/2

( x-((5.12^(1/2)+5)/2) )

x-((5.12^(1/2)+5)/2) = 0 // + (5.12^(1/2)+5)/2

x = (5.12^(1/2)+5)/2

x in { (5-5.12^(1/2))/2, (5.12^(1/2)+5)/2 }

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