Prove that (a^(2)+b^(2))x^(2)-2b(a+c)x+(...

Prove that `(a^(2)+b^(2))x^(2)-2b(a+c)x+(b^(2)+c^(2))>=0` for all `x in R` . If equality holds then find the ratio of the roots of the equation `ax^(2)+2bx+c=0`

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