Solving a quadratic equation with imaginary solutions

The video tutorial covers solving quadratic equations, starting with an introduction to various methods like factoring and the quadratic formula. The instructor attempts to factor a given equation but finds it non-factorable, leading to the use of the quadratic formula. The process involves identifying coefficients, calculating the discriminant, and understanding the nature of roots. The tutorial concludes with an explanation of complex roots and the final solution using the quadratic formula.

Describe the steps to apply the quadratic formula.

How do you rewrite the square root of a negative number in terms of complex numbers?

What is the final answer obtained from applying the quadratic formula to the given equation?