Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
solve: $(x + 3)^2 - 3 = 49$
$\bigcirc$ $x = 3 pm 2\sqrt{13}$
$\bigcirc$ $x = -3 pm 2\sqrt{13}$
$\bigcirc$ $x = \pm 7$
$\bigcirc$ $x = -3 + \sqrt{52}$

Explanation:

Step1: Isolate the squared term

Add 3 to both sides:
$$(x+3)^2 = 49 + 3$$
$$(x+3)^2 = 52$$

Step2: Take square root of both sides

$$x+3 = \pm\sqrt{52}$$
Simplify $\sqrt{52} = \sqrt{4\times13} = 2\sqrt{13}$:
$$x+3 = \pm2\sqrt{13}$$

Step3: Solve for x

Subtract 3 from both sides:
$$x = -3 \pm 2\sqrt{13}$$

Answer:

$\boldsymbol{x = -3 \pm 2\sqrt{13}}$ (corresponding to the option: $\boldsymbol{x = -3 \pm 2\sqrt{13}}$)