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Think about it. Which specific terms have the 'minus' with them (as opposed to their positive counterparts)? What will happen to these later then you square both sides to get rid of the surd?
Begin with the usual transformation.
Let y=x+1/x. Now solve this equation for x and then substitute this expression (in terms of y) into your original equation and you're done.
My bad i didnt read that also the fact that the positive and negative sign does get lostYes. You can use the sum of roots and sum of reciprocal of roots to form a new equation. In hindsight this is easier.
Begin with the usual transformation.
Let y=x+1/x. Now solve this equation for x and then substitute this expression (in terms of y) into your original equation and you're done.
I had it in my exam boi.My bad i didnt read that also the fact that the positive and negative sign does get lost
sorry X_X
Do you think this kind of question will come out in any exams?