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Step 1Your determinant value seems to be wrong. The correct determinant is-α2p2r+α2pq2-2 αpqr+2 αq3-pr2+q2r=-(pr-q2)(α2p+2 qα+r)so unless pr=q2, α is indeed a root of px2+2qx+r
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Find the range of the function f(x) = (x + 4)2+5
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