Given Equation:
\[ y = x^2 - 16 \]
We are solving for x, so let's assume:\[ y = 0 \]
That gives us:
\[ 0 = x^2 - 16 \]
Step 1: Move constants to the other side
\[ x^2 = 16 \]
Step 2: Take the square root of both sides
To solve for \( x \), take the square root of both sides:
\[ x = \pm\sqrt{16} \]
Step 3: Simplify the square root
\[ x = \pm 4 \]
Final Answer:
\[ x = -4 \quad \text{or} \quad x = 4 \]
✅ These are the two values of \( x \) that make \( y = 0 \).
These are also called the x-intercepts or roots of the equation.
Graphical representation