Question: The image contains the following mathematical expression: \[ x^2 - 2x - 24 \]

The image contains the following mathematical expression:

\[ x^2 - 2x - 24 \]

Solution

To solve the quadratic equation \( x^2 - 2x - 24 = 0 \), follow these steps: Step 1: Write the equation. \[ x^2 - 2x - 24 = 0 & \] Step 2: Factor the quadratic expression. \[ (x - 6)(x + 4) = 0 & \] Step 3: Set each factor equal to zero and solve for \( x \). \[ x - 6 = 0 \quad \Rightarrow \quad x = 6 & \] \[ x + 4 = 0 \quad \Rightarrow \quad x = -4 & \] Solution: The solutions are \( x = 6 \) and \( x = -4 \).