"Let $a_1, a_2, a_3, a_4$ and $\beta$ be real numbers. such that

$$

p+\sum_{k=1}^4 a_k=8 \\

\text { and } p^2+\sum_{k=1}^4 a_k^2=16

$$

Find the maximum value of $\beta$"

Question

"Let $a_1, a_2, a_3, a_4$ and $\beta$ be real numbers. such that

$$

p+\sum_{k=1}^4 a_k=8 \\

\text { and } p^2+\sum_{k=1}^4 a_k^2=16

$$

Find the maximum value of $\beta$"

Vineet Loomba · Accepted Answer

"soltuino

Let $a_1, a_2, a_3, a_4$ and $\beta$ be real numbers. such that

$$

\begin{gathered}

p+\sum_{k=1}^4 a_k=8 \\

\text { and } p^2+\sum_{k=1}^4 a_k^2=16

\end{gathered}

$$

Find the maximum value of $\beta$"

Solution