Question

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

Answer 1

Answer

I tried, to give the answer

Answer 2

Answer:

-15 and 4

Step-by-step explanation:

Let the two numbers are x and y

According to the question

x+y=-11......1

xy=-60......2

From equation 1, we get

x=-11-y

Putting this value of x in equation 2 we get,

(-11-y)y=-60

-11y-y^2=-60

y^2+11y-60=0

Splitting the middle term

y^2+15y-4y-60=0

y(y+15)-4(y+15)

(y+15)(y-4)

Solving the equation we get

y=-15 and 4

when y=-15,x=4

when y=4,x=-15