Question

if zeros of a polynomial x^2+5x+k are the reciprocal of zero.find value of k​

Answer 1

Answer:

GIVEN POLYNOMIAL:–

${x}^{2} + 5x + k = 0$

• SUPPOSE THAT THE ZERO'S ARE a , 1/a . THESE ARE RECIPROCAL TO EACH OTHER.

• WE KNOW THAT MULTIPLE OF ROOTS IS = c/a

$a \times \frac{1}{a} = k$

$k = 1$

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