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tmua.me Medium Set D Paper 1 · Q7

Paper 1Algebra

For each nonzero real number xx, let

u=x+1x,v=x2+1x2.u=x+\frac1x,\qquad v=x^2+\frac1{x^2}.

You may use the identity v=u2−2v=u^2-2.

How many distinct real values of xx satisfy

u2−5u=v2−5v ?u^2-5u=v^2-5v\,?
A11
B33
C44
D55
E66

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