<p>Let <img alt="$a,b,c,d,e,f,g$" height="16" src="https://latex.artofproblemsolving.com/0/3/b/03b70c5faf0b8bc7b283ab0d7b23bc7947f26f1b.png" width="110" /> and <img alt="$h$" height="12" src="https://latex.artofproblemsolving.com/8/1/8/8189a5b5a0917b8c93350827be4038af1839139d.png" width="10" /> be distinct elements in the set <img alt="$\{-7,-5,-3,-2,2,4,6,13\}.$" height="18" src="https://latex.artofproblemsolving.com/b/8/f/b8f4eab5a7c87e70a1df5ae5207015524630a40a.png" width="216" /></p> <p>What is the minimum possible value of <img alt="$(a+b+c+d)^{2}+(e+f+g+h)^{2}?$" height="19" src="https://latex.artofproblemsolving.com/c/6/0/c60833e3e5397157dbc1497e09347ac5ce7df7fb.png" width="280" /></p>

Question No: 254

Let $a,b,c,d,e,f,g$ and $h$ be distinct elements in the set $\{-7,-5,-3,-2,2,4,6,13\}.$

What is the minimum possible value of $(a+b+c+d)^{2}+(e+f+g+h)^{2}?$

Editorial

Tags: Algebra

Question Details