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What is the solution to the equation below ?

x=3

Step-by-step explanation:

First we're going to get rid of the fraction by multiplying both sides by the square root of x-2

Now square both sides

Next use the distributive property

Now subtract 9x from both sides

Finally divide -6 on both sides

(c, 0) i might be wrong so don't put full faith on my answer

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)