64/x=2x-8

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Solution for 64/x=2x-8 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

64/x = 2*x-8 // - 2*x-8

64/x-(2*x)+8 = 0

64/x-2*x+8 = 0

64*x^-1-2*x^1+8*x^0 = 0

(8*x^1-2*x^2+64*x^0)/(x^1) = 0 // * x^2

x^1*(8*x^1-2*x^2+64*x^0) = 0

x^1

8*x-2*x^2+64 = 0

8*x-2*x^2+64 = 0

DELTA = 8^2-(-2*4*64)

DELTA = 576

DELTA > 0

x = (576^(1/2)-8)/(-2*2) or x = (-576^(1/2)-8)/(-2*2)

x = -4 or x = 8

x in { -4, 8} 

x in { -4, 8 }

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