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Let a,b>0 and Delta=|(-x,a,b),(b,-x,a),(...

Let a,b>0 and `Delta=|(-x,a,b),(b,-x,a),(a,b,-x)|` then (1) `a+b-x` is a factor of `Delta` 2) `x^2+(a+b)x+a^2+b^2-ab` is a factor of `Delta` (3) `Delta=0` has three real roots if a=b 4) all of these

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