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If each pair of equations x^2+ax+b=0, x^2+mx+n=0, x^2+px+q=0 has exactly one common root, then how should I prove that (a+m+p)^2=4[(am+mp+pa)-(b+n+q)]

If each pair of equations x^2+ax+b=0, x^2+mx+n=0, x^2+px+q=0 has exactly one common root, then how should I prove that (a+m+p)^2=4[(am+mp+pa)-(b+n+q)]

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