SOLUTION: {{{2*sqrt(5)=3*sqrt(x)}}}

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Question 117094: 2%2Asqrt%285%29=3%2Asqrt%28x%29
Found 2 solutions by prabhjyot, bucky:
Answer by prabhjyot(164) About Me  (Show Source):
You can put this solution on YOUR website!
2sqrt5=3sqrtx
divide both sides by 3 we get
%282sqrt%285%29%29%2F3=sqrt%28x%29
squaring both sides
%282sqrt%285%29%2F3%29%5E2=+x+
+%28+20%2F9%29=x+
so x=20%2F9

Answer by bucky(2097) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
.
2%2Asqrt%285%29=3%2Asqrt%28x%29
.
To solve for x, begin by isolating the term sqrt%28x%29 by dividing both sides of this equation
by 3 to get:
.
%282%2Asqrt%285%29%29%2F3+=+sqrt%28x%29
.
To get this into a more standard arrangement, transpose this equation (switch sides) to
put it into the form:
.
sqrt%28x%29+=+%28%282%2Asqrt%285%29%29%2F3%29
.
Square both sides and you get:
.
+x+=+%28%282%2Asqrt%285%29%29%2F3%29%5E2+=+%282%5E2%2A%28sqrt%285%29%29%5E2%29%2F3%5E2+=+%284%2A5%2F9%29+=+20%2F9
.
So the answer to this problem is:
.
x+=+20%2F9
.
Hope this helps you to understand the problem and the process you can follow to get the answer.
.