Given a line tangent to a circle find the value of x

The video tutorial explains how to solve a problem involving a tangent line and the Pythagorean theorem. It begins by introducing the concept of a tangent line and its properties, such as creating a perpendicular line. The instructor then applies the Pythagorean theorem to find the value of x, using algebraic techniques like FOIL and solving equations. The tutorial concludes with the final calculation to determine the value of x.

What steps would you take if you encountered a quadratic equation in this context?

Describe the process of solving for x in the equation presented in the text.