SOLUTION: Please help me find the value of X?? {{{((1/2)x)^2+(x)^2=sqrt(5)^2}}}

Question 241255: Please help me find the value of X??

Answer by College Student(505) (Show Source): You can put this solution on YOUR website!
Hello.
.
We know that when we square a square root, they cancel each other...
so...
We can now re-write the equation to read:

.
We also know that right?
So let's square the contents of the parenthesis:
thus equal to
.
So we can further simplify the equation to read:

Let's factor x^2...

Now, convert 1 to a fraction to combine with 1/4

Add fractions

Multiply by the fraction's reciprocal on both isides of equation

The 5 cancels

Take square root on both sides to find value of x

We have two possible solutions x=2 and x=-2
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