9x-62=7/x

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Solution for 9x-62=7/x equation: 


D( x )

x = 0

x = 0

x = 0

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

9*x-62 = 7/x // - 7/x

9*x-(7/x)-62 = 0

9*x-7*x^-1-62 = 0

9*x^1-7*x^-1-62*x^0 = 0

(9*x^2-62*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(9*x^2-62*x^1-7*x^0) = 0

x^1

9*x^2-62*x-7 = 0

9*x^2-62*x-7 = 0

DELTA = (-62)^2-(-7*4*9)

DELTA = 4096

DELTA > 0

x = (4096^(1/2)+62)/(2*9) or x = (62-4096^(1/2))/(2*9)

x = 7 or x = -1/9

x in { -1/9, 7} 

x in { -1/9, 7 }

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