Question 5 (1 point) Solve. $$ 2 x^{2}-39=33 $$ a $$ \pm 3 $$ b no real number solution c $$ \pm 6 $$ d $$ d \geq \sqrt{6} $$

Question

UpStudy AI · Accepted Answer

Consider the equation

$$
2x^2 - 39 = 33.
$$

**Step 1.** Add $$39$$ to both sides:

$$
2x^2 = 33 + 39 = 72.
$$

**Step 2.** Divide both sides by $$2$$:

$$
x^2 = \frac{72}{2} = 36.
$$

**Step 3.** Take the square root of both sides:

$$
x = \pm \sqrt{36} = \pm 6.
$$

Thus, the solution is $$ x = \pm 6 $$, which corresponds to option (c).
The solution is $$ x = \pm 6 $$, so the correct answer is option (c).

Question 5 (1 point) Solve. \[ 2 x^{2}-39=33 \] a \( \pm 3 \) b no real number solution c \( \pm 6 \) d \( d \geq \sqrt{6} \)