if one zero of the polynomial (k2+4)x2+13x+4k is reciprocal of the other find k

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Question:
If one zero of the polynomial f(x)=(k²+4)x²+13x+4k is reciprocal of the other, then k is equal to.

⭕ALGEBRA ( Marks - 20 )

⭕COORDINATE GEOMETRY ( Marks - 06 )

⭕GEOMETRY--Circle+Triangle ( Marks - 15 )

⭕TRIGONOMETRY-- Introduction of Trigo+Application of Trigo ( Marks - 12 )

⭕MENSURATION--Area related to circle+Surface area and volume ( Marks - 10 )

⭕STATISTICS & PROBABILITY-- ( Marks - 11 )

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Sir no need to do so much just there is a necessity to put a condition that a=c when it is asked for reciprocal and it is solved

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