SOLUTION: The sum of two numbers is −34. You want to maximize their product. Determine the two numbers m and n using the method of completing the square. Show your work.
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Question 1177207: The sum of two numbers is −34. You want to maximize their product. Determine the two numbers m and n using the method of completing the square. Show your work.
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is .
their product:
...........substitute
=
=............complete square
=........
=
=
=> numbers are: and
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
The "solution" by @MathLover1 is irrelevant to the posed problem, since she solved DIFFERENT problem.
So I came to bring the TRUE solution.
The sum of two numbers is .
their product:
...........substitute
=
=............complete square
=........
=
=
=> the numbers are: x= -17 and y= -17. ANSWER
----------
Solved.
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