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James Chen TMUA Paper 2 · Q20

Paper 2Number & countingAlgebra

The equation 52−5(2x2+1)+x4−x=05^2-5(2x^2+1)+x^4-x=0 has four solutions, two of which can be written as 1Q(−1±P)\frac1Q(-1\pm\sqrt P) and the other two of which can be written as 12(R±S)\frac12(R\pm\sqrt S) for integer constants P,Q,R,SP,Q,R,S. What is the value of P+Q+R+SP+Q+R+S?

A3737
B3838
C3939
D4040
E4141
F4242

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