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For this case, we must find the solutions of the following quadratic equation:

[tex]x ^ 2-35 = 2x[/tex]

Rewriting the form [tex]ax ^ 2 + bx + c = 0[/tex]we have:

[tex]x ^ 2-2x-35 = 0[/tex]

To factor, we must find two numbers that add -2 and multiply -35.

These numbers are:

-7 and 5

[tex](x + 7) (x-5) = 0[/tex]

Thus, the solutions are:

[tex]x = -7\\x = 5[/tex]

Answer:

Option A