Math, asked by varadpurohit, 1 year ago

plzzzzz solve following 14th question ??????

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Answers

Answered by YashRajpootThakur
1
According to the Question;
the zeroes of the polynomial be:-
 \alpha  \: and \: 1 \div  \alpha
P (x) =
 ({k}^{2}  + 4) {x}^{2}  + 23x + 4k
Therefore
a =  {k}^{2}  + 4
and
c = 4k.

product of zeroes = c÷a
 \alpha  \times 1 \div  \alpha  = 4k \div  ({k}^{2}  + 4)

1 = 4k \div  ({k}^{2}  + 4)

 {k}^{2}   - 4k + 4 = 0
To solve this equation,

we get the value of k = 2 or 2

Therefore, the answer of this question is 2.

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