Questions
a) Explain two different methods to solve a quadratic equation and what is meant by a real root. For each, describe an instance where it would be appropriate to use this method and give an example calculation.
b) Define the discriminant (sometimes known as determinant) of a quadratic equation and, using your own words, explain how it can be used to determine the number of solutions to the equation. Show example calculations to where one, two, or no real roots are found. Use hand-drawn or software-generated graphs to show the roots of the quadratic and indicate which roots are real.
c) Explain in your own words how to determine whether a geometric series will:
converge
diverge
oscillate Define any algebraic variables you use.
d) Give an example of each type of series and carry out an example calculation to show that it converges, diverges, or oscillates.
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