Question

3(x + 1)^2 -4=5

Solve equation using square roots

Answer 1

x = -1 ± √3

Explanation:

To solve the equation 3(x + 1)^2 - 4 = 5, we can follow these steps:

Step 1: Add 4 to both sides of the equation to isolate the squared term:

3(x + 1)^2 = 9

Step 2: Divide both sides of the equation by 3 to solve for (x + 1)^2:

(x + 1)^2 = 3

Step 3: Take the square root of both sides to solve for x + 1:

√((x + 1)^2) = √3

(x + 1) = ±√3

Step 4: Subtract 1 from both sides to solve for x:

x = -1 ± √3

So, the solution to the equation 3(x + 1)^2 - 4 = 5 is x = -1 ± √3.