SOLUTION: Can somebody help me find x: {{{((1/2)x)^2+(x)^2=sqrt(5)^2}}}

Question 251828: Can somebody help me find x:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Take note that . So . Also, keep in mind that

Start with the given equation.

Square the individual terms (see above).

Combine like terms (this just amounts to adding fractions).

Multiply both sides by 4.

Divide both sides by 5.

Cancel out the common terms.

Simplify.

Take the square root of both sides.

or Break up the "plus/minus" to form two equations.

or Take the square root of to get .

or Combine like terms.

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Answer:

So the solutions are or .
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