Question 164762
sqrt(26t+10)-5sqrt(t)=1
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I'll assume you want to solve for t, tho you should say that.
{{{sqrt(26t+10)-5sqrt(t)=1}}}
{{{sqrt(26t+10)=5sqrt(t)+1}}}  Isolate one radical
Square both sides.
{{{26t+10 = 25t + 10sqrt(t) + 1}}}
Collect terms
{{{t+9 = 10sqrt(t)}}}
Square again
{{{t^2 + 18t + 81 = 100t}}}
{{{t^2 - 82t + 81 = 0}}}
(t-1)*(t-81) = 0
t = 1
t = 81
Check:
sqrt(26t+10)-5sqrt(t)=1
sqrt(26*1+10)-5sqrt(1)=1
sqrt(36)-5*1=1
6-5=1, so that one's good.
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{{{sqrt(26t+10)-5sqrt(t)=1}}}
{{{sqrt(26*81+10)-5sqrt(81)=1}}}
{{{sqrt(2116)-5sqrt(81)=1}}}
46- 5*9 =1
46-45 = 1
That's good too.