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It is a quadratic equation in $c$ with discriminant $ \Delta: =d^4-2(d+1)^2+72$, but for all $ y>5$ you have $ (d^2-2)^2<\Delta<d^4$
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Let $c, d$ be two positive integers such that $d>3$ and $c^2+d^4=2((c-6)^2+(d+1)^2)$.
What is the value of $c^2+d^4$?
Algebra
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