Question 429978
Solution:{{{(sqrt(5)-1)/x=sqrt(5/2)}}}, assume x different from zero,we have:

{{{((x*sqrt(2))*(sqrt(5)-1))/(x)=(x*sqrt(2))(sqrt(5/2))}}}

{{{sqrt(2)*(sqrt(5)-1)=x*sqrt(5)}}}

{{{sqrt(10)-sqrt(2)=x*sqrt(5)}}}

{{{x=(sqrt(10)-sqrt(2))/sqrt(5)}}}

Done.