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Prove that the tangents to the curve y=x...

Prove that the tangents to the curve `y=x^2-5+6` at the points `(2,0)a n d(3,0)` are at right angles.

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`y= x^2 - 5x + 6`
at point `(2,0)`
`dy/dx = 2x- 5`
at (2,0) , `dy/dx = -1`
at (3,0)`dy/dx= 1`
`(m_1)(m_2) = -1`
so, they are at right angles
hence proved
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