When is the quadratic congruence $ax^2 + bx +c \equiv 0 \pmod p$ solvable?

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I am learning about quadratic congruences and I don't now how to decide, for which $a, b, c$ and $p$ there is a solution of the congruence. Is it sufficient if the discrminant $b^2-4ac$ has a solution in $\Bbb Z_p^*$?