Algebra Basics, Equations, and Mathematical Models

1. When solving a quadratic equation using the quadratic formula, it is possible for the b2 - 4ac term inside the square root (the discriminant) to be negative, thus forcing us to take the square root of a negative number. The solutions to the equation will then be complex numbers (i.e., involve the imaginary unit i).
It is possible to complete a quadratic with an imaginary number. The kind of problematic solutions that would include the use of a quadratic formula ending with an imaginary number would be not be found in normal math or lower algebra. Often, they would found in engineering…