SOLUTION: Hi! Solve the equation (1+sqrt(x))^2-2(1+sqrt(x))-15=0 thanks!

Question 198474: Hi!
Solve the equation (1+sqrt(x))^2-2(1+sqrt(x))-15=0
thanks!

Found 2 solutions by arallie, MRperkins:
Answer by arallie(162) (Show Source): You can put this solution on YOUR website!

Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
There is probably more than one way to solve this, but the easiest way is actually quite easy and I am sure you will understand it once we are done.
First, notice that the first term is and the second term is
Now, select any variable to replace let's say z
so now substitute z for and you get a problem that you better understand which is
Now you can factor the problem to factors of 15 that subtract and give you -2 which are -5 and 2
so you get which means either z-5=0 or z+2=0
so z=5 or z=-2
Substitute for z and you get:
and
and
square both sides and you get
x=16 and x=9
check your answers by plugging in your answers
1.

0=0 so 16 does work!
2.

-7 does not equal 0 so 9 does not work. Therefore, your only real answer is x=16
I hope this helps!

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