Solve this equation and select the choice that $$ (x+2)^{2}-1=4 $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
(x + 2)^2 - 1 = 4
$$

**Step 1: Isolate the squared term**

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

$$
(x + 2)^2 = 4 + 1
$$
$$
(x + 2)^2 = 5
$$

**Step 2: Take the square root of both sides**

Taking the square root of both sides gives:

$$
x + 2 = \pm \sqrt{5}
$$

**Step 3: Solve for $$ x $$**

Subtract 2 from both sides to solve for $$ x $$:

$$
x = -2 \pm \sqrt{5}
$$

**Final Solutions:**

$$
x = -2 + \sqrt{5} \quad \text{and} \quad x = -2 - \sqrt{5}
$$

If there are multiple-choice options provided, the correct choice will include these two solutions.
The solutions are $$ x = -2 + \sqrt{5} $$ and $$ x = -2 - \sqrt{5} $$.

Solve this equation and select the choice that

Upstudy AI Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Algebra Questions