SOLUTION: what is the equation for the following situation? find two consecutive odd integers if the product ids 143

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: what is the equation for the following situation? find two consecutive odd integers if the product ids 143      Log On


   

Question 828130: what is the equation for the following situation? find two consecutive odd integers if the product ids 143
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
look at some consecutive odd numbers
5 7 9 11
they are two a part
so we let x be the first and x+2 be the second
x*(x+2)=143
x^2+2x-143=0
what are factors of -143?
-11 and +13
and
+11 and -13
we need them to add up to +2
(x-11)*(x+13)=0
x=11 y=13 or x=-13 y=-11
remember their products must be +143