SOLUTION: This is the problem I am trying to solve: (x-2)^2 + x^2=10. I have tried every rule and method I can think of. I know that (x-2)^2 equals x^2 -4x +4, so then would it be x^4 -4x +4

Question 142538This question is from textbook University of Phoenix
: This is the problem I am trying to solve: (x-2)^2 + x^2=10. I have tried every rule and method I can think of. I know that (x-2)^2 equals x^2 -4x +4, so then would it be x^4 -4x +4?? I'm not even sure if this pertains to this problem. I am at a loss. I really appreciate any help you can offer.. Thanks in advance :0) This question is from textbook University of Phoenix

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

Foil

Subtract 10 from both sides

Combine like terms. This is where you made an error: plus is not

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 x in each case

So our answer is
or

Notice if we graph we can see that the roots are and . So this visually verifies our answer.

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