Solve for X given : y = x^2 − 16

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


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