Question

if the product of zeros of the polynomia f(x)=ax²-6x²+11x-6 is 4,then a=​

Answer 1

Answer:

$a=\frac{9}{2}$

Step-by-step explanation:

Given:-

Product of zeros of equation (a-6)x²+11x-6 is 4.

To Find:-

The Value of a.

Formula Applied:-

Product of zeros=$\frac{c}{a}$ in quadratic equation ax²+bx+c.

Solution:-

Product of zeros=$\frac{c}{a}$ where c=(-6) and a=(a-6)

$\implies 4=(-\frac{6}{a-6})$

$\implies 4\times(a-6)=(-6)$

$\implies 4a-24=(-6)$

$\implies 4a=24-6$

$\implies 4a=18$

$\implies a=\frac{18}{4}$

$\implies \large\boxed{a=\frac{9}{2}}$