Find two integers whose product is 9 and whose sum is - 6

The two integers whose product is 9 and whose sum is - 6 are - 3 and - 3. - 3 multiplied by - 3 is 9 and - 3 + - 3 is - 6.

Let x and y are the integers.

the product of two integers x and y = (x) (y) = 9

and their sum = x + y = - 6

y = - 6 - x

now put the value of y in the product equation;

(x) (-6-x) = 9

-6x - x² - 9 = 0

x²+6x + 9 = 0

x² + 3x + 3x + 9 = 0

x (x+3) + 3 (x+3) = 0

(x+3) (x+3) = 0

so, x+3 = 0

x = - 3

So, the two integers are - 3 and - 3

if we multiply - 3 and - 3 we get answer 9

and if we add - 3 and - 3 we get answer - 6.