Question

I.
2. The sum of two integers is -5 and their product is 6. Find the integers.​

Answer 1

Answer:

Step-by-step explanation:

If one of them is x, then the other must be 10 - x...they add to 10, right?

Thus we have

x(10 - x) = 24

 

10x - x^2 = 24

x^2 - 10x + 24 = 0

(x - 6)(x - 4) = 0

X = 6 and 4

Answer 2

Answer :

The two integers are -2 and -3.

Step-by-step explanation :

Given,

• Sum of two integers = -5
• Product of the two integers = 6

To find,

• the integers

Solution,

let the two integers be x and y

Their sum = -5

 x + y = -5

  x = -5 - y

Their product = 6

   (x) × (y) = 6

 

Substitute x = -5 - y

   (-5-y) (y) = 6

   -5y - y² = 6

  y² + 5y + 6 = 0

  y² + 2y + 3y + 6 = 0

  y(y + 2) + 3(y + 2) = 0

   (y + 2) (y + 3) = 0

      y = -2, -3

If y = -2,

   x = -5-y

      = -5-(-2)

      = -5+2

      = -3

If y = -3,

    x = -5-y

       = -5-(-3)

       = -5+3

      = -2

The two integers are -2 and -3.

Verification :

• The two integers are -2 and -3

Their sum = -5

 -2 - 3 = -5

    -5 = -5

Their product = 6

 (-2) (-3) = 6

     6 = 6

Hence verified!