7/x-4/21/2x-8

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Solution for 7/x-4/21/2x-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

7/x-(((4/21)/2)*x)-8 = 0

(-2/21)*x+7/x-8 = 0

7*x^-1-2/21*x^1-8*x^0 = 0

(7*x^0-2/21*x^2-8*x^1)/(x^1) = 0 // * x^2

x^1*(7*x^0-2/21*x^2-8*x^1) = 0

x^1

(-2/21)*x^2-8*x+7 = 0

(-2/21)*x^2-8*x+7 = 0

DELTA = (-8)^2-(4*7*(-2/21))

DELTA = 200/3

DELTA > 0

x = ((200/3)^(1/2)+8)/(2*(-2/21)) or x = (8-(200/3)^(1/2))/(2*(-2/21))

x = -21/4*((200/3)^(1/2)+8) or x = -21/4*(8-(200/3)^(1/2))

x in { -21/4*((200/3)^(1/2)+8), -21/4*(8-(200/3)^(1/2))} 

x in { -21/4*((200/3)^(1/2)+8), -21/4*(8-(200/3)^(1/2)) }

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