SOLUTION: Please help me with this problem... A number is three less than half the other. If their product is 540, what are the numbers?

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Question 1046579: Please help me with this problem... A number is three less than half the other. If their product is 540, what are the numbers?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x and y;
system%28x=-3%2By%2F2%2Cxy=540%29

x=y%2F2-3
2x=y-6
2x%2B6=y

xy=540
x%282x%2B6%29=540
2x%5E2%2B6x-540=0
x%5E2%2B3x-270=0

discriminant, 9%2B4%2A270=9%2B540%2A2=1080%2B9=1089=33%5E2
-
x=%28-3%2B-+33%29%2F2
-
system%28x=15%2Cor%2C-18%29
What is the y result for each of these?

y=2x%2B6
either
y=2%2A15%2B6
y=36
or
y=2%28-18%29%2B6
y=-36%2B6
y=-30



The two answers then are:
--------------------------------
15 and 36
--------------OR----------------
-18 and -30
--------------------------------