What is the minimum value of (x - 1)^2 + (x - 2)^2 + (x - 3)^2 + (x - 4)^2 + (x - 5)^2?
+9519 Expanding them all and completing the square would be possible.
\(\)\((x - 1)^2 + (x - 2)^2 + (x - 3)^2 + (x - 4)^2 + (x - 5)^2 = 5x^2 - 30x + 55 = 5(x^2 - 6x + 11) = 5(x - 3)^2 + 10\)
Therefore if we substitute x = 3 into the expression, we get the minimum value.
The minimum value is 10.
