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06Question 21 of 40What is the solution to √6x-3 = 2√x?O A. -3/2OB.c.O C.3122314O D. 1/314

06Question 21 of 40What is the solution to √6x-3 = 2√x?O A. -3/2OB.c.O C.3122314O-example-1
User Almett
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1 Answer

2 votes

Solution:


√(6x-3)=2√(x)

Square both sides;


\begin{gathered} (√(6x-3))^2=(2√(x))^2 \\ \\ 6x-3=4x \end{gathered}

Collect like terms;


\begin{gathered} 6x-4x=3 \\ \\ 2x=3 \end{gathered}

Divide both sides by 2;


\begin{gathered} (2x)/(2)=(3)/(2) \\ \\ x=(3)/(2) \end{gathered}

CORRECT OPTION: C

User LaBUBU
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