SOLUTION: solve {{{ sqrt(x+3) = x+1 }}} if possible could you include steps on how you reached the answer

Question 446603: solve
if possible could you include steps on how you reached the answer
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve = x + 1
if possible could you include steps on how you reached the answer
:
Square both sides:

FOIL the right side
x + 3 = x^2 + 2x + 1
Combine like terms on the right
0 = x^2 + 2x - x + 1 - 3
A quadratic equation
x^2 + x - 2 = 0
Factors to
(x+2)(x-1) = 0
Two solutions
x = -2
and
x = +1
:
:
You must check both solutions in the original equation
x = -2
= -2 + 1
= -1
1 does not = -1, not a valid solition
try x=1
= 1 + 1
= 2; a good solution

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