8-x+8x-64/x-8

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Solution for 8-x+8x-64/x-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

7*x^1-64*x^-1 = 0

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

x^1*(7*x^2-64*x^0) = 0

x^1

7*x^2-64 = 0

7*x^2-64 = 0

DELTA = 0^2-(-64*4*7)

DELTA = 1792

DELTA > 0

x = (1792^(1/2)+0)/(2*7) or x = (0-1792^(1/2))/(2*7)

x = (8*7^(1/2))/7 or x = (-8*7^(1/2))/7

x in { (-8*7^(1/2))/7, (8*7^(1/2))/7} 

x in { (-8*7^(1/2))/7, (8*7^(1/2))/7 }

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