Let $a,$ $b,$ $c,$ $d$ be nonnegative real numbers such that $a + b + c + d = 1.$  Find the maximum value of
\[a^2 + b^2 + c^2 + d^2.\]
Question:
Let $a,$ $b,$ $c,$ $d$ be nonnegative real numbers such that $a + b + c + d = 1.$  Find the maximum value of
\[a^2 + b^2 + c^2 + d^2.\]
Answer:
Let's think step by step.

user
1
Let $a,$ $b,$ $c,$ $d$ be nonnegative real numbers such that $a + b + c + d = 1.$  Find the maximum value of
\[a^2 + b^2 + c^2 + d^2.\]
train