Let and ( > ) be the roots of the equation x^2-8x+q=0. If ^2- ^2=16, then what is the value of q?

NDA 2022 Mathematics question

Let and be the roots of the equation . If , then what is the value of ?

Answer: (D)

. Then $α^2-β^2 = (α+β)(α-β) = 16

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Question ID VK-029311