What is the solution to the equation below? (√(3-2x) )/(√(4x) ) =2 A. x = 5/6 B. x = 9/10 C. x = 1/6 D. x = 3/10

Question

What is the solution to the equation below?


`(√(3-2x) )/(√(4x) ) =2`

A. x = 5/6
B. x = 9/10
C. x = 1/6
D. x = 3/10

Answer 1

Answer: OPTION C

Explanation:

Given the equation
`(√(3-2x) )/(√(4x) ) =2`, you need to solve for the variable "x".

First, you need to multiply both sides of the equation by
`√(4x)`:

`((√(3-2x))/(√(4x)))(√(4x) })=2(√(4x) })\\\\√(3-2x)=2√(4x)`

Now you need to square both sides of the equation:

`(√(3-2x))^2=(2√(4x))^2\\\\3-2x=4(4x)\\\\3-2x=16x`

Subtrac 3 and 16x from both sides:

`3-2x-(3)-(16x)=16x-(3)-(16x)\\\\-18x=-3\\`

Divide both sides by -18:

`(-18x)/(-18)=(-3)/(-18)\\\\x=(1)/(6)`