Question 1204536
I assume this the problem you jntended .


{{{sqrt (3k-5)-sqrt( 3k)= -1}}}


square both sides


{{{(3k-5)-2sqrt( 9k^2-15k)+3k = 1}}}

{{{6k-5 -2sqrt(9k^2-15)=1}}}


{{{2sqrt(9k^2-15)= 6-6k}}}

/2

{{{sqrt(9k^2-15)= (6-6k)/2=(3-3k)}}}


square 

{{{9k^2-15= 9-18k+9k^2}}}

3k =9

k=3