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p^2x^2+(p^2-q^2)x-q^2=0
p^2x^2+p^2x-q^2x-q^2=0
p^2x(X+1)-q^2(X+1)=0
(p^2x-q^2)(X+1)=0
so X=q^2/p^2
X=-1
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