SOLUTION: if the product of two consecutive odd numbers is decreased by twice the bigger number, the result is 3 more then 6 times the smaller number. Find the number.
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> SOLUTION: if the product of two consecutive odd numbers is decreased by twice the bigger number, the result is 3 more then 6 times the smaller number. Find the number.
Log On
Question 764591: if the product of two consecutive odd numbers is decreased by twice the bigger number, the result is 3 more then 6 times the smaller number. Find the number. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! if the product of two consecutive odd numbers is decreased by twice the bigger number, the result is 3 more then 6 times the smaller number. Find the number.
-----
1st: 2x-1
2nd: 2x+1
------
Equation:
(2x-1)(2x+1) - 2(2x+1) = 6(2x-1)+3
----
4x^2-1 -4x -2 = 12x - 3
----
4x^2 -16x = 0
4x(x-4) = 0
----
x = 0 or x = 4
-------
1st: 2x-1 = -1 or 7
2nd: 2x+1 = 1 or 9
=======================
Cheers,
Stan H.
=======================
(