Question

If the product of zeros of the polynomial ax^2 - 6x - 6 is 4, find the value of a.

Answer 1

⇒αβ=c/a
⇒4= -6/a
⇒a= -6/4
⇒a= -3/2

Answer 2

Answer:

-3/2

Step-by-step explanation:

The given expression is ax^2 - 6x - 6

We also know that the product of the zeroes is 4

The product of zeroes is given by αβ

Since,

αβ = 4 ------------------- 1)

αβ = c/a = -6/a ------------------2)

Thus equating the equations 1) and 2) we get,

4 = -6/a

4a = -6

a = -6/4 = -3/2

Therefore, a = -3/2  is the required answer