SOLUTION: If the product of two consecutive odd integers is 7 more than their some, what are the integers? x = one number x + 2 = the other number x(x + 2) = x + x + 2 + 7 x^2 + 2x

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: If the product of two consecutive odd integers is 7 more than their some, what are the integers? x = one number x + 2 = the other number x(x + 2) = x + x + 2 + 7 x^2 + 2x      Log On


   



Question 396749: If the product of two consecutive odd integers is 7 more than their some, what are the integers?

x = one number
x + 2 = the other number
x(x + 2) = x + x + 2 + 7
x^2 + 2x = 2x + 9
I am missing something....



Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
x+= one number
%28x+%2B+2%29 = the other number
x%28x+%2B+2%29+=+x+%2B+%28x+%2B+2%29+%2B+7
x%5E2+%2B+2x+=+2x+%2B+9+
I am missing something....just continue

x%5E2+%2B+2x+=+2x+%2B+9+ ...add -2x} to the both sides
x%5E2+%2B+2x+-+2x+=+2x+-+2x+%2B+9+
x%5E2+%2Bcross%28+2x%29+-cross%28+2x%29+=+cross%28+2x%29+-cross%28+2x%29+%2B+9+
x%5E2++=++9+
x++=+sqrt%28+9+%29

x=+-%283%29

so, your numbers are:
3,5.....first solution
and
-3, -1........second solution

check both:
3%283+%2B+2%29+=+3+%2B+%283+%2B+2%29+%2B+7

3%285%29+=+3%2B+5+%2B+7
15+=+15
-3%28-3+%2B+2%29+=+-3+%2B+%28-3+%2B+2%29+%2B+7
-3%28-1%29+=+-3+%2B+%28-1%29+%2B+7


3+=+-3+-1+%2B+7
3+=+-4+%2B+7
3+=+3+