A algebra problem by Norwyn Kah

Algebra Level 4

Let real numbers \(a\), \(b\) and \(c\) satisfy \(a+b+c=a^2+b^2+c^2=2\).

Find \(\dfrac{(1-a)^2}{bc}+\dfrac{(1-b)^2}{ac}+\dfrac{(1-c)^2}{ab}\).

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