SOLUTION: Find two consecutive odd integers such that the sum of their squares is 74.

Click here to see ALL problems on Numbers Word Problems

Question 450847: Find two consecutive odd integers such that the sum of their squares is 74.
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Let represent the first odd integer. Then the second odd integer is .

The first one squared is:

The second one squared is:

The sum is:

And the sum is equal to 74, so:

Divide by 2:

Factor and solve the quadratic.

John

My calculator said it, I believe it, that settles it

Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!

two consecutive odd integers such that the sum of their squares is 74
Assign variables :
Let = first odd integer, and
= second odd integer

the sum of their squares is ....solve for

...use quadratic formula

solutions:

or

now find second odd integer
or

so, your numbers are:

and
or
and