7x+1/x-1=9

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Solution for 7x+1/x-1=9 equation: 


D( x )

x = 0

x = 0

x = 0

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

7*x+1/x-1 = 9 // - 9

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

7*x^1+1*x^-1-10*x^0 = 0

(7*x^2-10*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(7*x^2-10*x^1+1*x^0) = 0

x^1

7*x^2-10*x+1 = 0

7*x^2-10*x+1 = 0

DELTA = (-10)^2-(1*4*7)

DELTA = 72

DELTA > 0

x = (72^(1/2)+10)/(2*7) or x = (10-72^(1/2))/(2*7)

x = (6*2^(1/2)+10)/14 or x = (10-6*2^(1/2))/14

x in { (10-6*2^(1/2))/14, (6*2^(1/2)+10)/14} 

x in { (10-6*2^(1/2))/14, (6*2^(1/2)+10)/14 }

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