Question

Q8. If the sum and product of zeros of the polynomial ax2 – 5x + c is equal
to 10 each, find the value of a and c.

Answer 1

Given:

ax2 – 5x + c

To find:

If the sum and product of zeros of the polynomial ax2 – 5x + c is equal to 10 each, find the value of a and c.

Solution:

From given, we have,

ax2 – 5x + c

equate the above equation to zero, in order to find the value of a and c.

ax² – 5x + c = 0

The sum of the zeros = - b/a

- b/a = 10

- (-5)/a = 10

5/a = 10

⇒ a = 5/10

∴ a = 1/2

The product of the zeros = c/a

c/a = 10

c / (1/2) = 10

2c = 10

⇒ c = 10/2

∴ c = 5