Quadratic with a Repeated Root

Algebra Level 4

How many ordered triples of integers (a,b,c) (a, b, c) are there, such that a,b a, b and cc are integers from 1 to 10 inclusive, and the quadratic function f(x)=ax2+bx+c f(x) = ax^2 + bx + c has a repeated root?

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