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17 votes
17 votes
Square root of 3x+ 4 = 5.

Square root of 3x+ 4 = 5.-example-1
User Britto
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3.1k points

2 Answers

23 votes
23 votes

Answer:


7

Step-by-step explanation:


~~~~~~√(3x+4) = 5\\\\\implies \left(√(3x+4) \right)^2 = 5^2\\\\\implies 3x+4 = 25\\\\\implies 3x = 25 -4 \\\\\implies 3x = 21\\\\\implies x= \frac{21}3\\\\\implies x = 7


\textbf{Verification:}\\\\~~~~~~√(3 * 7 +4) =5\\\\\implies √(21+4) = 5\\\\\implies √(25) = 5\\\\\implies 5 = 5 \checkmark

User F Chopin
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3.4k points
20 votes
20 votes

Answer:

x = 7

Step-by-step explanation:

√3x + 4 = 5

square root both sides

(√3x + 4)² = 5²

simplify

3x + 4 = 25

collect into groups

3x = 21

divide both sides by 3

x = 7

User Sergei Lomakov
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2.9k points