book Maths Puzzle Numerical Ability

Use the discriminant to find what type of solutions (two rational, two irrational, one rational, or two nonreal complex) Do not solve the equation. Show work and list the values

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book Other Question

The 8 people at a party shook hands exactly once with each of the others before the 9th arrived. The 9th person then shook hands with some of these 8 people. A
total of 32 handshakes took place. With how many people did the 9th person shake hands? Give an example of a sum of a negative number and a positive number that is negative.