exam Maths Puzzle Numerical Ability

How to show that the equation x^2 + px -q^2 = 0 are real for any real numbers p & q? Thanks

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exam Other Question

What is the solution of the inequality 0 ≥ �c/6? Please help. I do not even know what to call this.
Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.

2x+3y=1
5x+3y=16