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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}{|l|l|l|}
\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}

A. First A, then F, then E
B. First B, then D, then C
C. First F, then D, then C
D. First D, then C, then F

Sagot :

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

1. Square both sides (Step F):
[tex]\[ (\sqrt{6x + 4})^2 = 8^2 \][/tex]
Squaring both sides simplifies to:
[tex]\[ 6x + 4 = 64 \][/tex]

2. Subtract 4 from both sides (Step D):
[tex]\[ 6x + 4 - 4 = 64 - 4 \][/tex]
Simplifying this gives:
[tex]\[ 6x = 60 \][/tex]

3. Divide by 6 from both sides (Step C):
[tex]\[ \frac{6x}{6} = \frac{60}{6} \][/tex]
Simplifying this gives:
[tex]\[ x = 10 \][/tex]

Thus, the correct way to solve the equation is: First F, then D, then C.
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