Describe each step when solving the given equation: (A-REI.A.1) Work $$ \begin{array}{ll} ext { Description } \ 6 x^{2}-8=46 & ext { choose your answer... } \ $$\begin{tabular}{lll}$$ 6 x^{2}=54 $$ & ext { choose your answer... } \ $$ x^{2}=9 $$ & ext { choose your answer... } \ $$ x= \pm 3 $$ & ext { Solution } \ \hline\end{tabular}\end{array}

Question

Describe each step when solving the given equation: (A-REI.A.1) Work $$ \begin{array}{ll}	ext { Description } \ 6 x^{2}-8=46 & 	ext { choose your answer... } \ $$\begin{tabular}{lll}$$ 6 x^{2}=54 $$ & 	ext { choose your answer... } \ $$ x^{2}=9 $$ & 	ext { choose your answer... } \ $$ x= \pm 3 $$ & 	ext { Solution } \ \hline\end{tabular}\end{array}

UpStudy AI · Accepted Answer

Let's solve the equation step by step and describe each part of the process.

1. **Start with the original equation:**
   $$
   6x^{2} - 8 = 46
   $$
   - **Description:** This is the initial equation we need to solve for $$ x $$.

2. **Add 8 to both sides:**
   $$
   6x^{2} = 46 + 8
   $$
   - **Description:** We isolate the term with $$ x^{2} $$ by adding 8 to both sides of the equation.

3. **Simplify the right side:**
   $$
   6x^{2} = 54
   $$
   - **Description:** After performing the addition, we simplify the right side to get $$ 54 $$.

4. **Divide both sides by 6:**
   $$
   x^{2} = \frac{54}{6}
   $$
   - **Description:** To solve for $$ x^{2} $$, we divide both sides by 6.

5. **Simplify the right side:**
   $$
   x^{2} = 9
   $$
   - **Description:** After performing the division, we simplify the right side to get $$ 9 $$.

6. **Take the square root of both sides:**
   $$
   x = \pm 3
   $$
   - **Description:** To find $$ x $$, we take the square root of both sides, which gives us two possible solutions: $$ 3 $$ and $$ -3 $$.

7. **Final solution:**
   - **Solution:** The solutions to the equation are $$ x = 3 $$ and $$ x = -3 $$.

In summary, the steps taken were to isolate the variable, simplify the equation, and then solve for $$ x $$ by taking the square root. The final solutions are $$ x = \pm 3 $$.
Here's the simplified version of the answer: 1. Start with the equation: $$ 6x^{2} - 8 = 46 $$. 2. Add 8 to both sides: $$ 6x^{2} = 54 $$. 3. Divide both sides by 6: $$ x^{2} = 9 $$. 4. Take the square root of both sides: $$ x = \pm 3 $$. So, the solutions are $$ x = 3 $$ and $$ x = -3 $$.

Describe each step when solving the given equation: (A-REI.A.1)
Work

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choose your answer...

Solution

\end{array}

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Describe each step when solving the given equation: (A-REI.A.1) Work choose your answer... choose your answer... Solution \end{array}