2.4=x^2/(x-1)^2

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Solution for 2.4=x^2/(x-1)^2 equation: 


D( x )

(x-1)^2 = 0

(x-1)^2 = 0

(x-1)^2 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

2.4 = (x^2)/((x-1)^2) // - (x^2)/((x-1)^2)

2.4-((x^2)/((x-1)^2)) = 0

(-1*x^2)/((x-1)^2)+2.4 = 0

(-1*x^2)/((x-1)^2)+(2.4*(x-1)^2)/((x-1)^2) = 0

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

1.4*x^2-4.8*x+2.4 = 0

1.4*x^2-4.8*x+2.4 = 0

1.4*x^2-4.8*x+2.4 = 0

DELTA = (-4.8)^2-(1.4*2.4*4)

DELTA = 4.8^2-13.44

DELTA = 9.6

DELTA > 0

x = ((4.8^2-13.44)^(1/2)+4.8)/(1.4*2) or x = (4.8-(4.8^2-13.44)^(1/2))/(1.4*2)

x = 0.35714286*((4.8^2-13.44)^(1/2)+4.8) or x = 0.35714286*(4.8-(4.8^2-13.44)^(1/2))

(x-0.35714286*(4.8-(4.8^2-13.44)^(1/2)))*(x-0.35714286*((4.8^2-13.44)^(1/2)+4.8)) = 0

((x-0.35714286*(4.8-(4.8^2-13.44)^(1/2)))*(x-0.35714286*((4.8^2-13.44)^(1/2)+4.8)))/((x-1)^2) = 0

((x-0.35714286*(4.8-(4.8^2-13.44)^(1/2)))*(x-0.35714286*((4.8^2-13.44)^(1/2)+4.8)))/((x-1)^2) = 0 // * (x-1)^2

(x-0.35714286*(4.8-(4.8^2-13.44)^(1/2)))*(x-0.35714286*((4.8^2-13.44)^(1/2)+4.8)) = 0

( x-0.35714286*((4.8^2-13.44)^(1/2)+4.8) )

x-0.35714286*((4.8^2-13.44)^(1/2)+4.8) = 0 // + -0.35714286*((4.8^2-13.44)^(1/2)+4.8)

x = -(-0.35714286*((4.8^2-13.44)^(1/2)+4.8))

x = 0.35714286*((4.8^2-13.44)^(1/2)+4.8)

( x-0.35714286*(4.8-(4.8^2-13.44)^(1/2)) )

x-0.35714286*(4.8-(4.8^2-13.44)^(1/2)) = 0 // + -0.35714286*(4.8-(4.8^2-13.44)^(1/2))

x = -(-0.35714286*(4.8-(4.8^2-13.44)^(1/2)))

x = 0.35714286*(4.8-(4.8^2-13.44)^(1/2))

x in { 0.35714286*((4.8^2-13.44)^(1/2)+4.8), 0.35714286*(4.8-(4.8^2-13.44)^(1/2)) }

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