Let $a$ and $b$ satisfy $ab=7$ and $a+b=5$. What is the value of $a^2 + b^2$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $a$ and $b$ satisfy $ab=7$ and $a+b=5$. What is the value of $a^2 + b^2$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
11
Let $a$ and $b$ satisfy $ab=7$ and $a+b=5$. What is the value of $a^2 + b^2$?
train