X+x-7=15/x

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Solution for X+x-7=15/x equation: 


D( x )

x = 0

x = 0

x = 0

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

X+x-7 = 15/x // - 15/x

X+x-(15/x)-7 = 0

X+x-15*x^-1-7 = 0

1*x^1-15*x^-1-7*x^0 = 0

(1*x^2-7*x^1-15*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-7*x^1-15*x^0) = 0

x^1

x^2-7*x-15 = 0

x^2-7*x-15 = 0

DELTA = (-7)^2-(-15*1*4)

DELTA = 109

DELTA > 0

x = (109^(1/2)+7)/(1*2) or x = (7-109^(1/2))/(1*2)

x = (109^(1/2)+7)/2 or x = (7-109^(1/2))/2

x in { (7-109^(1/2))/2, (109^(1/2)+7)/2} 

x in { (7-109^(1/2))/2, (109^(1/2)+7)/2 }

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