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I dont understand how to

Given equation is an expansion of (x - 5)^2 with solution 5 so max value is 5

can you explain how you got that

(x -5)^2 = x^2 - 10x + 25
(a - b)^2 = a^2 - 2ab + b^2

x - 5 = 0 and x - 5 = 0
x = 5 Which is the max value for the equation

so what would be the vertex