Prove that the tangents to the curve \( y=x^{2}-5 x+6 \) at the points \( (2,0) \) and \( (3,0) ...

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Prove that the tangents to the curve \( y=x^{2}-5 x+6 \) at the points \( (2,0) \) and \( (3,0) \) are at right angles.
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