Write a pair of integers whose product is –36 and 15 is obtained when the smaller number is subtracted from the larger number.
Write a pair of integers whose product is –36 and 15 is obtained when the smaller number is subtracted from the larger number.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
The pair of integers are:
Step-by-step explanation:
Assume x and y are integers, given that their product is -36.
y = -36/x
Their difference is 15.
Substitute y value in the above equation.
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:
= -36/3
= -12
= -3
Hence, the values of the integer pairs are:
I hope this would have been an answer you would have expected to get.
HAPPY LEARNING!