The graph of y = x - 1 CUTS the x-axis at x = 1 while the graph of y = x(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}- 1 TOUCHES the x-axis at x = 1.

The point at which the tangent touches the curve is shown mathematically by having two solutions of x, i.e. x = 1 (twice).

Is there some deeper meaning to these two identical solutions for x?

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# B Does a tangent to a curve touch at 2 identical points?

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