SOLUTION: Find two integers such that: • both are odd • their sum is negative • their product is −135 • one is a perfect square • neither is a factor of the other

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Find two integers such that: • both are odd • their sum is negative • their product is −135 • one is a perfect square • neither is a factor of the other       Log On


   

Question 434319: Find two integers such that:
• both are odd
• their sum is negative
• their product is −135
• one is a perfect square
• neither is a factor of the other
Answer by solver91311(24713) About Me  (Show Source):
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We know that



and



from which we can derive



Substitute



Multiply by



The square root of 135 is approximately 11 and 2/3. A perfect square in the vicinity of 11 is 9. 135 divided by 9 is 15. 9 is odd, a perfect square, not a factor of 15, and when multiplied by -15 (which is odd, not a perfect square, not a factor of 9) equals -135. Furthermore 9 + (-15) is negative.


John

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