Question

solve this question

Answer 1

Let the first Zeros be a
and second be 1/a


$product \: of \: zero = \frac{constant \: term}{coefficient \: of \: {x}^{2} }$

$a \times \frac{1}{a} = \frac{6a}{ {a}^{2} + 9}$

$1 = \frac{6a}{ {a}^{2} + 9}$


a² + 9 = 6a

a² - 6a + 9 = 0

a² - 3a - 3a + 9 = 0

a ( a - 3 ) - 3 ( a - 3 ) = 0

( a - 3 ) ( a - 3 ) = 0



* ( a - 3 ) = 0
a = 3


* ( a - 3 ) = 0
a = 3


So , value of a is 3