Question

6(x + 3)² + 20 = 12 what is the answer with steps using the square root property

Answer 1

To solve the equation 6(x + 3)² + 20 = 12 using the square root property, follow these steps.

Step-by-step explanation:

To solve the equation 6(x + 3)² + 20 = 12 using the square root property, follow these steps:

1. Subtract 20 from both sides of the equation to isolate the quadratic expression: 6(x + 3)² = -8
2. Divide both sides of the equation by 6 to simplify: (x + 3)² = -8/6 = -4/3
3. Take the square root of both sides of the equation, considering both the positive and negative square roots: x + 3 = ±√(-4/3)
4. Subtract 3 from both sides of the equation to solve for x: x = -3 ± √(-4/3)

Therefore, the solutions to the equation are x = -3 + √(-4/3) and x = -3 - √(-4/3).