Question 938365: the sum of two numbers is 22 and their product is 120. Find the two numbers Found 2 solutions by Fombitz, MathLover1:Answer by Fombitz(32388) (Show Source):
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From the first equation,
Substitute into the second,
Two solutions,
then,
and
then,
10 and 12 are the numbers.
You can put this solution on YOUR website!
let the two numbers be and
if the sum of two numbers is , then we have
......eq.1
if their product is , we have
......eq.2
solve the system:
......eq.1 ......eq.2
_______________________
start with ......eq.1 ...solve for ...substitute in eq.2
......eq.2...solve for
solutions:
=>
or =>
now find :
=>=> =>=>
so, your numbers are:
and
or and