For what least integral 'k' is the quadratic trinomial is positive for all real…

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Problem

For what least integral 'k' is the quadratic trinomial (k−2)x2+8x+(k+4)(k-2)x^2 + 8x + (k+4) is positive for all real values of xx? (a) k=4k = 4 (b) k=5k = 5 (c) k=3k = 3 (d) k=6k = 6

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