x/7+9/x=16/7

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Solution for x/7+9/x=16/7 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/7+9/x = 16/7 // - 16/7

x/7+9/x-(16/7) = 0

x/7+9/x-16/7 = 0

1/7*x^1+9*x^-1-16/7*x^0 = 0

(1/7*x^2-16/7*x^1+9*x^0)/(x^1) = 0 // * x^2

x^1*(1/7*x^2-16/7*x^1+9*x^0) = 0

x^1

(1/7)*x^2+(-16/7)*x+9 = 0

(1/7)*x^2+(-16/7)*x+9 = 0

DELTA = (-16/7)^2-(4*9*(1/7))

DELTA = 4/49

DELTA > 0

x = ((4/49)^(1/2)-(-16/7))/(2*(1/7)) or x = (-(-16/7)-(4/49)^(1/2))/(2*(1/7))

x = 9 or x = 7

x in { 7, 9} 

x in { 7, 9 }

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