SOLUTION: The product of two consecutive odd integers is 1 less than four times their sum. Find the two integers.

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Question 211833: The product of two consecutive odd integers is 1 less than four times their sum.
Find the two integers.
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let x, x+2 be consecutive integers
.
(x)(x+2) = 4(x+x+2) -1 = 4(2x+2)-1
.
x^2 +2x = 8x +8 -1
.
x^2 -6x -7 =0
.
(x-7)(x+1) = 0
.
x+7,,,,-1
.
consecutive integers,,7,9,,,,,-1,1
.
check,,,(7,9),,,7*9 = 4(7+9) -1 = 63,,,,ok
.
(-1,1),,,,,-1*1 = 4(-1+1) -1 = -1,,,,ok
.