Question 67005
find two integers whose difference is 23 and whose product is 195

CHECK YOUR NUMBERS----THE SOLUTIONS TO THIS PROBLEM ARE NOT INTEGERS.

Let x=larger integer
x-23=smaller integer

Now we are told that:

x(x-23)=195 clear parens

x^2-23x=195 subtract 195 from both sides:

x^2-23x-195=0

Using the quadratic formula, we get:

x=(+23+or-sqrt(529+780))/2;
x=(+23+or-sqrt(1309))/2;
sqrt(1309)=36.180 -----something is wrong!!!

x cannot be an integer

Hope this helps----ptaylor