2x-(1/x)=7

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Solution for 2x-(1/x)=7 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(1/x) = 7 // - 7

2*x-(1/x)-7 = 0

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

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

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

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

x^1

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

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

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

DELTA = 57

DELTA > 0

x = (57^(1/2)+7)/(2*2) or x = (7-57^(1/2))/(2*2)

x = (57^(1/2)+7)/4 or x = (7-57^(1/2))/4

x in { (7-57^(1/2))/4, (57^(1/2)+7)/4} 

x in { (7-57^(1/2))/4, (57^(1/2)+7)/4 }

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