Answer:
The two solutions are
5 and 9
-5 and -9
Step-by-step explanation:
Let x and y be the numbers
x-y = 4
x*y = 45
Using substitution
x = 4+y
(4+y)y =45
4y + y^2 = 45
Subtract 45 from each side
y^2 +4y -45 =0
Factor
(y - 5) ( y+9) = 0
Using the zero product property
y -5 =0 y+9 =0
y=5 y = -9
Now we can find x
y=5
x = 4+y
x =4+5
x=9
y = -9
x = 4+y
x = 4+-9
x = -5
The two solutions are
5 and 9
-5 and -9
