Question

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

Answer 1

`√(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