If one of the zeroes of the quadratic polynomial x² + 4x + 2a is reci – InterviewSolution

1.

If one of the zeroes of the quadratic polynomial x² + 4x + 2a is reciprocal of other zero, thenfind the value of a.

Answer»

$a = \frac{1}{2}$

Step-by-step EXPLANATION:

$let \: one \: root \: be \: \alpha \: and \: other \: be \: \frac{1}{ \alpha }$

$product \: of \: roots \: is \: 2a$

$\alpha \times \frac{1}{ \alpha } = 2a$

$we \: get \: 2a = 1$

$a = \frac{1}{2}$

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