Question

Find k If one zero is the reciprocal of the other,where p(x)=x 2 + 2x + k+1
Hint take β= 1/α

Answer 1

From Equation :

• a = 1 , b = 2 , c = k+1

then ,

$\sf product \: \: of \: \: zeros \: \: = \alpha \beta = \frac{c}{a}$

$\sf \frac{1}{ \cancel\alpha } \times \cancel \alpha = \frac{ k + 1}{1} \implies \: k + 1 = 1 \implies k = 1 - 1 = 0$

• ✠ Value of k = 0

Hope this will help u

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Answer 2

Hope it's helpful to you :) :)