SOLUTION: two numbers whos sum is 11 and product is -60?

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Question 281455: two numbers whos sum is 11 and product is -60?
Found 2 solutions by richwmiller, dabanfield:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=11
a*b=-60
a=-4, b=15
a=15,b=-4
nothing complex here.

Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
two numbers whos sum is 11 and product is -60?
Let x and y be the two numbers. Then we have:
1.) x + y = 11
2.) x*y = -60
From 1.) we have x = 11 - y. Substitute 11-y for x in 2.):
(11-y)*y = -60
11y - y^2 = -60
y^2 - 11y - 60 = 0
(y-15)*(y+4) = 0
y=15 or y=-4
Find the corresponding values of x using x = 11-y.