Question

Write a pair of integers whose product is –36 and 15 is obtained when the smaller number is subtracted from the larger number. ​

Answer 1

Answer:

The pair of integers are:

• x=3
• y= -12
• y=-3
• X=12, whose product is -36 and their difference will be 15.

Step-by-step explanation:

Assume x and y are integers, given that their product is -36.

• So, xy = -36

        y = -36/x

Their difference is 15.

• x-y = 15

Substitute y value in the above equation.

• x- -36/x = 15

        x²/x + 36/ x = 15

        x² + 36 = 15x

        x² - 15x +36 = 0

        x² - 12x - 3x + 36 = 0

        x(x-12) - 3(x-12) = 0

        (x-3)(x-12) = 0

 Therefore, x=3 and x=12.

 Substitute the values of x and y:

• y = -36/x

           = -36/3

           = -12

• y = -36/12

           = -3

Hence, the values of the integer pairs are:

• x = 12
• y = -3
• x = 3
• y = -12

I hope this would have been an answer you would have expected to get.

HAPPY LEARNING!