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Algebra Level 2

Let \(k\) be the integer solution to the quadratic equation \(a{ x }^{ 2 }+bx+c-\overline { abc }=0 \). Evaluate \({ k }^{ 3 }+7{ k }^{ 2 }+2k+9\).

  • Here, \(|b|\) is not a multiple of \(|a|\) .
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