Guys Can you help me solve and check for extraneous solutions it would mean a lot.

Question

anonymous · Answer

attachment

daniellelovee · Answer

(x+1)^2=3x+7

anonymous · Answer

could you please explain how you got that answer, I seriously do not get any of this?

daniellelovee · Answer

lol in all honesty I'm just watching examples online because this seems like Algebra 2 (which I know how to solve) but the extraneous solution is confusing me
All I did was that if you have a sqrt on one side then can go backwards on it by making it ^2 on the other side

anonymous · Answer

Thanks I kind of understand it now :)

daniellelovee · Answer

yeah is like balancing the equation until you can FOIL it (idk if your familiar with that) 
then you combine like terms 
then you'll have a quadratic equation(x^1+x+#=0) that you can factor and then you'll have 2 solutions for x

nnesha · Answer

you have to take square both side you can cancel out square root with square

nnesha · Answer

bec square root can be write as exponent 
fore example square root of x is $$\huge\sqrt{x} =x ^{\frac{ 1 }{ 2 }}$$

nnesha · Answer

so when you take square root |dw:1421289798828:dw|
2 cancel out and you got just x that's how  :)