Solve for $$ x $$ using the square root property, $$ 3 x^{2}-40=-1 $$ $$ x= $$ Entry Tip: Do not use a decimal approximation for square roots. To enter a number like $$ 5 \sqrt{7} $$, type $$ 5^{*} $$ sqrt(7). Preview your answer before submitting! Furthere Tip: Write your answers as a list, with your answers separated by (a) comma(s). For example, if you get 4 and $$ -\frac{2}{3} $$ as your answers, then enter $$ 4,-2 / 3 $$ in the box.

Question

UpStudy AI · Accepted Answer

1. Start with the given equation:
   $$
   3x^2 - 40 = -1
   $$

2. Add $$40$$ to both sides to isolate the quadratic term:
   $$
   3x^2 = 39
   $$

3. Divide both sides by $$3$$:
   $$
   x^2 = 13
   $$

4. Apply the square root property:
   $$
   x = \sqrt{13} \quad \text{or} \quad x = -\sqrt{13}
   $$

Final answer: $$ \sqrt{13}, -\sqrt{13} $$
$$ x = \sqrt{13}, -\sqrt{13} $$

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Algebra Questions