Question

Two integers whose product is 36 and whose sum is -12.

Answer 1

Answer:

both of them are -6

Step-by-step explanation:

Let them be a and b respectively,

a × b = 36 ------------(equation 1)

a + b = -12

     a = -b - 12   ------------(equation 2)

substitute 2 into 1,

(-b - 12) × b = 36

-b² - 12b - 36 = 0

b² + 12b + 36 = 0

       (b + 6)² = 0

                  b = -6

a = -b - 12 = -(-6) - 12 = -6

so both of them are -6