Why do we write ± when solving quadratic equations, but not when evaluating square roots?
In this lesson, we’ll explore one of the most common misconceptions in algebra and uncover the reasoning behind it. You’ll learn how functions, inverses, and solving equations are connected, and why:
✔️ √25 = 5
✔️ x² = 25 has two solutions
✔️ The square root function only returns one output
✔️ The ± symbol appears when solving equations, not when evaluating square roots
By the end of this lesson, you’ll understand the mathematics behind the rule instead of simply memorizing it.
📚 Topics Covered:
* Square root functions
* Solving quadratic equations
* Function vs. inverse function
* The principal square root
* Why ± appears in algebra
