Question 960522
Sqrt(X-14) + sqrt(X-5) = 3
{{{Sqrt(X-14) + sqrt(X-5) = 3}}}


METHOD:
Isolate a radical;
Square both sides;
simplify;
isolate the radical;
simplify;
solve for the variable.


Using x instead of X,

{{{sqrt(x-14)=3-sqrt(x-5)}}}
{{{x-14=9-6sqrt(x-5)+x-5}}}
{{{-14=9-5-6sqrt(x-5)}}}
{{{-14-9+5=-6sqrt(x-5)}}}
{{{-17=-6sqrt(x-5)}}}
{{{sqrt(x-5)=17/6}}}
{{{x-5=(17/6)^2}}}
{{{highlight(x=5+(17/6)^2)}}}, and you can simplify further if needed.