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If a quadratic equation has zero discriminent, how many distinct roots does it have?

For example:
\[ x^2 - 2x + 1 = 0 \]
How many distinct roots does this equation have?

quick ... talk to me

In general, quadratics with zero discriminent have how many distinct roots then? 0, 1 or 2?

And here's the last piece of the puzzle. This is the graph of
\[ y = x^2 - 2x + 1 \] Notice how many times it touches or crosses the x-axis.