x-7/x+5=0

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Solution for x-7/x+5=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(7/x)+5 = 0

x-7*x^-1+5 = 0

1*x^1-7*x^-1+5*x^0 = 0

(1*x^2+5*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+5*x^1-7*x^0) = 0

x^1

x^2+5*x-7 = 0

x^2+5*x-7 = 0

DELTA = 5^2-(-7*1*4)

DELTA = 53

DELTA > 0

x = (53^(1/2)-5)/(1*2) or x = (-53^(1/2)-5)/(1*2)

x = (53^(1/2)-5)/2 or x = (-(53^(1/2)+5))/2

x in { (-(53^(1/2)+5))/2, (53^(1/2)-5)/2} 

x in { (-(53^(1/2)+5))/2, (53^(1/2)-5)/2 }

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