Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

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

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

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

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