complex

[maxtaylor4]

solve the equation sqrt(x) = sqrt(x+3) =3

 

[maxtaylor4]

complicated -typo

solve equation sqrt(x) + sqrt(1+3) = 3

 

[Denis]

Re: complicated -typo

solve equation sqrt(x) + sqrt(1+3) = 3

sqrt(1+3) = sqrt(4) = 2 : understand?
SO:
sqrt(x) + 2 = 3
sqrt(x) = 1
can you finish it now?

 

[tkhunny]

Re: complicated -typo

solve equation sqrt(x) + sqrt(x+3) = 3

Between the two of them, maybe we decoded your intent.

Worry about the Domain.
Isolate a square root.
Square things.
Isolate a square root.
Square things.
Solve.
Check.

sqrt(x) + sqrt(x+3) = 3
Domain
x>0
Isolate
sqrt(x) = 3 - sqrt(x+3)
Square
x = 9 - 6*sqrt(x+3) + (x+3)
Isolate
x = 9 - 6*sqrt(x+3) + x + 3
x = 12 - 6*sqrt(x+3) + x
0 = 12 - 6*sqrt(x+3)
6*sqrt(x+3) = 12
Square
sqrt(x+3) = 2
x+3 = 4
x = 1
Check
sqrt(1) + sqrt(1+3) = 1 + sqrt(4) = 1+2 = 3 -- Check!