split the middle term k^2-8k+10
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k^2-{(4+√6)+(4-√6)}k+10
=>k^2-(4+√6)k-(4-√6)k+10
=>k(k-4-√6)-(4-√6)(k-4-√6)
=>(k-4-√6)(k-4+√6)
=>k^2-(4+√6)k-(4-√6)k+10
=>k(k-4-√6)-(4-√6)(k-4-√6)
=>(k-4-√6)(k-4+√6)
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