The equation  is graphed.

Based on the graph, what number could you put in the box to create an equation that has no real solutions?

The equation  is graphed.

1. Without calculating the solutions, determine whether  has real solutions.
2. Show how to solve .

Write a quadratic equation of the form with real coefficients that has two non-real solutions. How did you decide what equation to write?

Find the complex solutions to each equation.

Elena and Kiran solve the equation and they get different answers. Elena writes  , and Kiran writes  . Are their answers equivalent? Say how you know.