Question

What is the solution to the equation below?


Please show work.

Answer 1

x = -9

Explanation:

Multiply both sides by √(x - 6) to eliminate the fraction:

√(3x) = 3√(x - 6)

Now square both sides:

3x = 9(x - 6), or 3x = 9x - 54.

Combining the x terms results in -6x = -54, and thus x = 9.

Answer 2

The correct answer is option D. x = 9

Explanation:

From the attached question we get an expression,

√3x/√(x - 6) = 3

To find the solution of given expression

√3x/√(x - 6) = 3

Squaring both side we get,

3x/(x - 6) = 9

3x = 9 * (x - 6)

3x = 9x - 54

9x - 3x = 54

6x = 54

x = 54/6 = 9

Therefore the correct option is D. x = 9