exam Maths Puzzle Numerical Ability

please help me solve this
a.calculate the value of the discriminant of x^2+x+3=0
b.by examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x^2+x+3 have?why?
this is under 1 problem. thank you tutor.

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How do you interpret the solution of a system of equations by the corresponding graph? solve this equation.

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