Question 1142963: The product of two consecutive odd integers is 1023. Find the sum of the two integers. Found 2 solutions by solver91311, Alan3354:Answer by solver91311(24713) (Show Source):
Let represent the first of the two consecutive odd integers. Then the second of the two must be . The product of the two is and this is given to equal 1023. So:
Which is to say:
Solve the quadratic and sum the two roots.
Hint: , so find the odd integers on either side of 32.
John
My calculator said it, I believe it, that settles it
You can put this solution on YOUR website! The product of two consecutive odd integers is 1023. Find the sum of the two integers.
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(x-1)*(x+1) = 1023
x = 32
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--> 31*33 = 1023
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As the other tutor said: =~ 32
--> 31 & 33
That's the best method.
