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we know that product of roots = c/a c = p2 - 24p + 145 so, 1 = p2 - 24p + 145 p2 - 24p + 144 = 0 p2 - 24p + 144 = 0 ⇒ (p - 12)2 = 0 ⇒ p - 12 = 0 ⇒ p = 12
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