Question

write a pair of integer whose productd is -39 whose difference is 16 ​

Answer 1

Answer:

Let the 2 integers be x and y respectively.

Given:

product = -36 difference = 15

xy = -36.

X - y = 15 x = 15 + y.

.[i]

.[ II ]

putting the value of x in eq. [i]

xy = -36

(15+ y) y = -36

15y + y^2 = -36

y^2 + 15y + 36 = 0

y^2 + 12y + 3y + 36 = 0

y(y + 12 ) + 3y 12 ) = 0

(y + 3) (y + 12) = 0

y=-3, y=-12

y=-3 x = 15+ y = 15 + (-3) = 15 - 3 = 12

y=-12 x= 15+ (-12) x = 15 -12 x=3

The two pair integers are -3 and 12 or 3 and - 12