SOLUTION: the product of two consecutive integers is 600. find the integers

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Question 989758: the product of two consecutive integers is 600. find the integers
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
24 and 25.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
the product of two consecutive integers is 600. find the integers
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The easy way:
sqrt%28600%29 =~ 24.5 or -24.5
--> 24 & 25 or -25 & -24
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The hard way:
x*(x+1) = 600
x^2 + x - 600 = 0
Now you have to find a pair of factors of 600 that differ by 1, which was where we started.
(x-24)*(x+25) = 0
x = 24 --> 24 & 25
x = -25 --> -25 & -24