1. Describe three different ways to solve a quadratic equation. Describe the strengths and limitations of each method, and explain how you would decide
which one to use to solve a particular problem.
2. Derive the quadratic formula from the standard form (ax2 + bx+c= 0) of a
quadratic equation by following the steps below.
a. Divide all terms in the equation by a.
b. Subtract the constant (the term without an x) from both sides.
c. Add a constant (in terms of a and b) that will complete the square.
d. Take the square root of both sides of the equation.
e. Solve for x.
3. Write a linear equation that intersects y = x2 at two points. Then write a second
linear equation that intersects y = x2 at just one point, and a third linear
equation that does not intersect y= x2. Explain how you found the linear
equations. D