SOLUTION: The product of two consecutive odd integers is 63.Find the numbers
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Question 1185240: The product of two consecutive odd integers is 63.Find the numbers
Found 2 solutions by Theo, Alan3354:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x be one of the odd integers.
then x + 2 would be another of the odd integers.
their product is 63.
you get x * (x + 2) = 63
simplify to get:
x^2 + 2x = 63
subtract 63 from both side of this equation to get:
x^2 + 2x - 63 = 0
factor this quadratic equation to get:
(x + 9) * (x - 7) = 0
set each factor to 0 and solve for x to get:
x = -9 or x = 7
when x = 7, the original equation becomes x * (x + 2) = 63 which becomes:
7 * 9 = 63 which is true.
when x = -9, the original equation becomes -9 * (-9 + 2) which becomes:
-9 * -7 = 63 which is also true.
the value of x can be either -9 or 7.
unless you had a restriction that the numbers had to be negative or positive, either answer is good.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The product of two consecutive odd integers is 63.Find the numbers
------------------------
=~ 8
---> 7 & 9
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