To solve the equation \((X - 7)^2 = 9\), follow these steps: 1. Take the square root of both sides: \[ X - 7 = \pm 3 \] 2. This gives us two cases to solve: - Case 1: \[ X - 7 = 3 \] Adding 7 to both sides: \[ X = 10 \] - Case 2: \[ X - 7 = -3 \] Adding 7 to both sides: \[ X = 4 \] Thus, the solutions to the equation \((X - 7)^2 = 9\) are: \[ X = 10 \quad \text{and} \quad X = 4 \]

(X-7)^2=9

1 answer

To solve the equation \((X - 7)^2 = 9\), follow these steps:

Take the square root of both sides: \[ X - 7 = \pm 3 \]
This gives us two cases to solve:
- Case 1: \[ X - 7 = 3 \] Adding 7 to both sides: \[ X = 10 \]
- Case 2: \[ X - 7 = -3 \] Adding 7 to both sides: \[ X = 4 \]

Thus, the solutions to the equation \((X - 7)^2 = 9\) are: \[ X = 10 \quad \text{and} \quad X = 4 \]