Question

the sum of two integers is -11 and their product is -60. what are the two integers​

Answer 1

Answer: Two integers y = ±√49 and x = - 18

Step-by-step explanation:

Given:

The sum of two integers is - 11 and their product is - 60.

Let the two integers be x and y respectively.

Sum of two integers,

x + y = - 11

x = - 11 - y. ...1

Product of two integers,

x × y = - 60

Substituting the value of x,

- 11 - y × y = - 60

- 11 - y² = - 60

- y² = - 60 + 11

- y² = - 49

y² = 49

y = ±√49

Taking the positive value,  y = 7

Now, finding the value of x.

x = - 11 - 7

x = - 18

Two integers y = ±√49 and x = - 18