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Answer :

Given:

There are given the equation:

[tex]y=x^2-10x+21[/tex]

Explanation:

According to the question, to find the vertex and roots first we need to draw the graph:

So,

The graph is:

On the given graph,

The vertex is:

[tex](5,-4)[/tex]

And,

The roots is:

[tex]x=(7,0),(3,0)[/tex]

Final answer:

Hence, by using the graph, the value of roots are shown below:

[tex]x=7,3[/tex]

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