Yolanda says 105 is the same as 50 because 10x5 equals 50. what was yolanda's mistake

 Yolanda's mistake is that she is assuming 105 is same as 10 x 5 .

Explanation:Here 105 represents a three digit number where 1 is at hundreds place,0 is at tens place and 5 is at once place and it can be written as the product  of its factors 5 and 21 i.e 105=5×21 =21+21+21+21+21+21=105(by adding once place and tens place), where as 10×5 represents 5 times number 10 i.e.10+10+10+10+10=50(by adding once place and tens place)

So ,assuming 105 is same as 10 x 5 is her mistake.

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)