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√(2x+3) = √(x+1) + 1
elevamos todo al cuadrado
2x+3=(x+1)+1+2* √(x+1)
2x+3-x-1-1=2* √(x+1)
x+1=2* √(x+1)
elevamos todo al cuadrado
(x+1)^2=4(x+1)
x^2+2x+1=4x+4
x^2+2x+1-4x-4=0
x^2-2x-3=0
resolvemos la e. de 2º grado y nos da:
x1=3 x2=-1