You can
put this solution on YOUR website!Two consecutive numbers would be
and
.
Their squares would be
and
.
The squares sum would is equal to 85.
Set the equation so that it looks like this:
.
Now solve for n.
First combine all like terms by multiplying out
. When you do you get
. When you combine all like terms you get
.
Now set the whole equation equal to zero by subtracting 85 from both sides to get:
.
Second, factor out a 2 from everything; that leaves you with
.
Factor the parenthesis to get
.
Now set each set of parenthesis to zero giving you
and
.
Solve for n in each case. Do that by either adding or subtracting the appropriate number. This leaves you with
and
.
Since the problem wants positive integers you can rule out the -7 leaving the answer to be 6 and, therefore, 7 since you want consecutive integers.
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