Solve the following quadratic equation using square roots: (x+3^)2=36.(1 point)

Answer 1

To solve the quadratic equation \((x + 3)^2 = 36\) using square roots, we can follow these steps:

1. Take the square root of both sides: \[ x + 3 = \pm 6 \]

2. Solve for \(x\) in each case:

   • Case 1: \(x + 3 = 6\) \[ x = 6 - 3 = 3 \]
   • Case 2: \(x + 3 = -6\) \[ x = -6 - 3 = -9 \]

3. Final solutions: \[ x = 3 \quad \text{or} \quad x = -9 \]

So, the solutions to the equation \((x + 3)^2 = 36\) are \(x = 3\) and \(x = -9\).