2002 Math OSP, Number 6

Algebra Level pending

Review equation that has a form of x 2 + b x + c = 0 { x }^{ 2 }\quad +\quad bx\quad +\quad c\quad =\quad 0 . How many equations thus that the equation has real roots if coefficient b and c can only be chosen from {1, 2, 3, 4, 5, 6}?


The answer is 19.

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