Question

ILL MARK THE MOST BRAINLIEST!!!

Given the equation square root of quantity 3x minus 2 end quantity equals 4, solve for x and identify if it is an extraneous solution.

6; solution is extraneous
6; solution is not extraneous
two thirds; solution is extraneous
two thirds; solution is not extraneous

Answer 1

6, solution is not extraneous.

Answer 2

Answer:

6; solution is not extraneous

Step-by-step explanation:

$\sqrt{3x-2} =4$

$(\sqrt{3x-2})^{2} = (4)^2$

$3x-2= 16$

$3x = 18$

$x =6$

$\sqrt{3(6)-2}=4$

$\sqrt{18-2}=4$

$\sqrt{16} =4$

$4=4$

6; solution is not extraneous

because 4 is equal to 4, an extraneous answer would be the correct answer given, however when you plug it into the equation it is not equal