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HELLO USER!!
HERE IS YOUR ANSWER
Let the 2 integers be x and y respectively.
Given:
product = -36
difference = 15
xy = -36. ...[ i ]
x - y = 15
x = 15 + y. ...[ 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 ) + 3 ( y + 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
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