Answered

Charlie was carrying around the steps to solve [tex]\sqrt{6x + 4} = 8[/tex]. On his way through the Math Factory, Charlie dropped them and they mixed with other steps. Put the correct steps in order to solve [tex]\sqrt{6x + 4} = 8[/tex].

\begin{tabular}{|c|c|c|}
\hline
A. Divide by 2 from both sides & B. Square root both sides & C. Divide by 6 from both sides \\
\hline
D. Subtract 4 from both sides & E. Subtract 8 from both sides & F. Square both sides \\
\hline
\end{tabular}

Options:
1. First [tex]$A$[/tex], then [tex]$F$[/tex], then [tex]$E$[/tex]
2. First [tex]$F$[/tex], then [tex]$D$[/tex], then [tex]$C$[/tex]
3. First [tex]$B$[/tex], then [tex]$D$[/tex], then [tex]$C$[/tex]
4. First [tex]$D$[/tex], then [tex]$C$[/tex], then [tex]$F$[/tex]



Answer :

GinnyAnswer
To solve the given equation [tex]\(\sqrt{6x + 4} = 8\)[/tex], we follow these steps in order:

1. Step F: Square both sides
We need to eliminate the square root by squaring both sides of the equation.
[tex]\[ (\sqrt{6x + 4})^2 = 8^2 \][/tex]
This simplifies to:
[tex]\[ 6x + 4 = 64 \][/tex]

2. Step D: Subtract 4 from both sides
Next, we need to isolate the term containing [tex]\(x\)[/tex]. To do this, we subtract 4 from both sides.
[tex]\[ 6x + 4 - 4 = 64 - 4 \][/tex]
This simplifies to:
[tex]\[ 6x = 60 \][/tex]

3. Step C: Divide by 6 from both sides
Finally, we solve for [tex]\(x\)[/tex] by dividing both sides by 6.
[tex]\[ \frac{6x}{6} = \frac{60}{6} \][/tex]
This simplifies to:
[tex]\[ x = 10 \][/tex]

Thus, the correct order of steps to solve [tex]\(\sqrt{6x + 4} = 8\)[/tex] is:
- First [tex]\(F\)[/tex]: Square both sides
- Then [tex]\(D\)[/tex]: Subtract 4 from both sides
- Finally [tex]\(C\)[/tex]: Divide by 6 from both sides

So the correct answer is:
First F, then D, then C.

Other Questions