Noah uses the quadratic formula to solve the equation . He finds or 1. But, when he checks his answer, he finds that neither -2.5 nor 1 are solutions to the equation. Here are his steps:

, ,

or 1

1. Explain what Noah’s mistake was.
2. Solve the equation correctly.

Solve each quadratic equation with the method of your choice.

What are the solutions to the equation ?

Which expression is equivalent to ?

Write each expression in the form , where and are real numbers.

Let and . Write each expression in the form , where and are real numbers.