Question

Find two integers whose sum is -7 and whose product is 12. Explain how you found the numbers.

Answer 1

hello : let x , y this numbers
x+y = -7....(1)
xy = 12 ... (2)
by (1) :
y = - 7 - x
subsct in (2) :
x(-7 - x) = 12
-7x - x² = 12
x² +7x +12 = 0
(x+4)(x +3) = 0
x+4 = 0 or x+3 = 0
so : x = -4 or x = -3

Answer 2

-3 + (-4)= -7
-3 times -4=12

negative plus a negative is still a negative. negative times a negative is a positive.