SOLUTION: For the following, solve. Find exact solutions {{{x-2*sqrt(x)+1=0}}}

Question 142978: For the following, solve. Find exact solutions

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Let . So this means that

Replace with replace with

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for y in each case

Since we have a repeating answer, our only answer is

Remember, we let

So this means that

Square both sides

Simplify

So our answer is
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