Question

If the product of the zeroes of the polynomial ax2-6x-6 is 4, then find value of a. Also find the sum of zeroes of the polynomial

Answer 1

Answer:

a = -3/2 and

Sum of zeros = -4

Step-by-step explanation:

Please find the attached image.

Answer 2

first of all products of zeroes = c/a

i.e,

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

so here,

a = a

b = -6

c= -6

according to the question,

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

4 = -6/a

4a = -6

a = -6/4

a = -3/2

now the sum of zeroes = -b/a

i.e,

$\alpha + \beta = \frac{ - b}{a}$

so

alpha + beta = -(-6)/ -3/2

= 6/-3/2
= 6×2/-3
= 12/-3
= -4

Hope that answers your question!