SOLUTION: Solve √(x+1)+5=x+4

Algebra.Com
Question 633773: Solve
√(x+1)+5=x+4

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve
√(x+1)+5=x+4
----
sqrt(x+1) = x-5
---
Square both sides to get:
x+1 = x^2 - 10x +25
x^2 -11x + 24 = 0
---
Factor:
x^2 - 3x - 8x + 24 = 0
x(x-3) - 8(x-3) = 0
----
(x-3)(x-8) = 0
----
x = 3 or x = 8
================
Cheers,
Stan H.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Solve
√(x+1)+5=x+4



--- Subtracting 5



------ Squaring both sides of equation







x(x - 3) = 0

x = 0 or x - 3 = 0

or

Howewer, when substituting 0 for x in original equation, x = 0 proves to be an ENTRANEOUS solution, so the only solution is

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