Question

If the product of the zero of the polynomial ax²- 6x - 6 is 4 , find the value of a.
​

Answer 1

${\bold {\huge {\mathcal {\red {Answer:}}}}}$

$a {x}^{2} - 6x - 6 = 0$

on comparing this equation with general form which is

$a {x}^{2} + bx + c = 0$

we get the values of a, b and c

a=?

b=-6

c=-6

According to question zeros are alpha and beta so,

$\alpha \beta = \frac{c}{a}$

given:

$14 = \frac{ - 6}{a}$

$a = \frac{ - 3}{7}$