SOLUTION: Please help me solve this word problem: Find two intergers whose sum is 19 and whose product is 60.

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Question 292357: Please help me solve this word problem:
Find two intergers whose sum is 19 and whose product is 60.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x = one integer
y = another integer
x+y = 19
x*y = 60
.
since x+y = 19
x = 19-y
.
substituting
(19-y)*y = 60
19y - y^2 = 60
19y = y^2 + 60
0 = y^2 - 19y + 60
or
y^2 - 19y + 60 = 0
factor
(y-4)(y-15)= 0
.
y = 4 or 15
which means
x = 15 or 4
.
Answer:
x = 4 and y = 15
or
x = 15 and y = 4
.
Done.