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You only need to find the vertex of a parabola, so I assume this is the equation.

Y = X^2 - 10X + 25

set to 0

X^2 - 10X + 25 = 0

now, you need to complete the square. Halve the linear term (-10), square it and add that to both sides. subtract 25 from each side to start

X^2 - 10X = - 25

X^2 - 10X + 25 = - 25 + 25

factor left; gather like terms right

(X - 5)^2 = 0

Vertex

(5,0)

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Q: How do you find the vertex of y equals x-10x plus 25?
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