Charlie was carrying around the steps to solve Square root of 6x plus 4 = 8. On his way through the Math Factory, Charlie dropped them and they mixed with other steps. Put the correct steps in order to solve Square root of 6x plus 4 = 8. A. Divide by 2 from both sides B. Square root both sides C. Divide by 6 from both sides D. Subtract 4 from both sides E. Subtract 8 from both sides F. Square both sides First A, then F, then E First B, then D, then C First D, then C, then F First F, then D, then C
Answer: Order will be F,D,C and Fourth Option is correct and x = 10
Step-by-step explanation:
Since we have given that
\(\sqrt{6x+4}=8\)
We first transpose the square root to the right , so it becomes square of 8,i.e.
\(6x+4=8^2\\\\6x+4=64\)
Now, transpose 4 to the right so it will get subtract from 64 i.e.
\(6x=64-4\\\\6x=60\)
Since 6 is multiplied to x on tranposing it will get divided by 60 i.e.
\(x=\frac{60}{6}\\\\x=10\)
Hence, on simplification, we get x=10.
Hence , the order is F,D,C.
The correct steps to follow in other to solve the equation is F the D then C
Given the equation : \(\sqrt{6x + 4} = 8\)
STEP 1 :
Take the square of both sides (F)
\((\sqrt{6x + 4})^{2} = 8^{2} \\6x + 4 = 64\)
STEP 2 :
Subtract 4 from both sides (D)
\(6x + 4 - 4 = 64 - 4\\6x = 60\)
STEP 3 :
Divide both sides by 6 (C)
\(\frac{6x}{6} = \frac{60}{6}\\x = 10\)
Hence, the correct steps to follow are : F then D then C
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