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$$\sqrt{}2x=\sqrt{}4x+1$$radical2x=radical4x+1

Oct 23, 2017

#1
+556
+1

For $$\sqrt{2x}=\sqrt{4x+1}$$:

Square each side to remove the meddlesome square root:

2x = 4x + 1

Isolate x (subtract 4x from each side, since 4 is the coefficient of x on the side with the extra number):

-2x = 1

Divide each side by -2 (the coefficient of x):

$$x = -\frac{1}{2}$$

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Oct 24, 2017
#2
+98196
+1

Note something that we need to be aware of, helperid

If  x  =  -1/2....we will have negatives  under  both radicals....but each side will evaluate to the complex answer, "i"

Oct 24, 2017