Find x + 1/x if x 3 + 1/x 3 = 110 Is there any other way than trial and error method???
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Yes there is.
cube x + 1/x
(x + 1/x)^3= x3 + 1/x3 + 3(x+1/x)
(x+1/x)^3= 110 + 3 (x+1/x)
Let x+1/x = y
=> y^3 = 110 + y
Solve this cubic equation to get the values for y (which is nothing but x+1/x)
cube x + 1/x
(x + 1/x)^3= x3 + 1/x3 + 3(x+1/x)
(x+1/x)^3= 110 + 3 (x+1/x)
Let x+1/x = y
=> y^3 = 110 + y
Solve this cubic equation to get the values for y (which is nothing but x+1/x)
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