7/x-4/21/4x-16

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Solution for 7/x-4/21/4x-16 equation: 


D( x )

x = 0

x = 0

x = 0

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

7/x-(((4/21)/4)*x)-16 = 0

(-1/21)*x+7/x-16 = 0

7*x^-1-1/21*x^1-16*x^0 = 0

(7*x^0-1/21*x^2-16*x^1)/(x^1) = 0 // * x^2

x^1*(7*x^0-1/21*x^2-16*x^1) = 0

x^1

(-1/21)*x^2-16*x+7 = 0

(-1/21)*x^2-16*x+7 = 0

DELTA = (-16)^2-(4*7*(-1/21))

DELTA = 772/3

DELTA > 0

x = ((772/3)^(1/2)+16)/(2*(-1/21)) or x = (16-(772/3)^(1/2))/(2*(-1/21))

x = -21/2*((772/3)^(1/2)+16) or x = -21/2*(16-(772/3)^(1/2))

x in { -21/2*((772/3)^(1/2)+16), -21/2*(16-(772/3)^(1/2))} 

x in { -21/2*((772/3)^(1/2)+16), -21/2*(16-(772/3)^(1/2)) }

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