Question

What is the solution to the equation below? square root of 4-3x divided by square root of 3x equals 2

Possible answers: x=4/9 x=4/15 x= 7/9 x=7/15

Answer 1

Answer:4/15

Explanation:

Answer 2

B.
`x=(4)/(15)`

Explanation:

• 
  `(√(4-3x))/(√(3x) ) =2`can be simplify by doing some algebra.
• Particulary, in this case,
  `(√(4-3x))/(√(3x) ) =\sqrt{(4-3x)/(3x) }`, because of the distributive property with respect to division and multiplication.
• Then, by dividing numerator and denominator by 3x inside the power we get
  `\sqrt{((4)/(3x)-1)/(1)}=\sqrt{(4)/(3x)-1} =2`.
• To dispose of the squared root, we raise to power 2 both sides of the equation, to obtain the following expression:
  `(4)/(3x)-1=4`.
• Finally, we just have to clear out the value of x from this expression, by addding 1 both sides of the equation:
  `(4)/(3x)=5`, and then by multiplying both sides by 3x, and then dividing the result by 15. This yields
  `x=(4)/(15)`