Exam Maths Puzzle Co-ordinate geometry

The graph of a quadratic function can have 0, 1, or 2 x-intercepts. How can you predict the number of such intercepts without drawing the graph or completely solving the equation?

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Exam Other Question

Mary's bowling score was within 10 pins of her average score of 105. I need to express this statement in terms of an inequality involving absolute value. I don't need to solve it. Just find out the inequality. Is it possible for a quadratic function to have one real zero and one imaginary zero? Why? Coul you give me an example?