SOLUTION: The product of two consecutive odd integers is 63. Find the integers.

Question 719393: The product of two consecutive odd integers is 63. Find the integers.

Answer by mathworm7271(5) (Show Source): You can put this solution on YOUR website!
if x is the first number and is odd, and the second number is also odd then the second number is x+2
Then using what the problem gave us, we know that...
x(x+2)=63
Use the Distributive property
x^2+2x=63
Subtract 63 from both sides
0=x^2+2x-63
Now we need to factor the trinomial
0=(x+9)(x-7)
So either x=-9 or x=7
now to test them out...
-9(-9+2)=-9(-7)=63
That one works, now to test the other one...
7(7+2)=7(9)=63
The both work so there is two answers: x=-9 or x=7

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