Solve the equation by the square root property. $$ 4 x^{2}+5=329 $$

Question

UpStudy AI · Accepted Answer

1. Start with the equation:
   $$
   4x^2 + 5 = 329
   $$

2. Subtract $$5$$ from both sides to isolate the term with $$x^2$$:
   $$
   4x^2 = 329 - 5 = 324
   $$

3. Divide both sides by $$4$$ to solve for $$x^2$$:
   $$
   x^2 = \frac{324}{4} = 81
   $$

4. Take the square root of both sides, remembering to include both the positive and negative roots:
   $$
   x = \pm \sqrt{81} = \pm 9
   $$

The solutions are:
$$
x = 9 \quad \text{and} \quad x = -9
$$
$$ x = 9 $$ or $$ x = -9 $$

Solve the equation by the square root property.