Question

Solve. check for extraneous solutions.
√ x+√ 2x=√ 2x

Answer 1

u'l get extraneous root when you square both sides but if you don't then u'l get no extraneous roots

Answer 2

can you show it to me @divu.mkr

Answer 3

x+2x +2x(sqrt2)= 2x

Answer 4

not really can you help me out lol im bad at math

Answer 5

Is this the problem?

\( \sqrt{x} + \sqrt{2x} = \sqrt{2x} \)

Answer 6

yes

Answer 7

Then start by subtracting \( \sqrt{2x} \) from both sides. What do you get?

Answer 8

-2 0 ?

Answer 9

\(\sqrt{x} + \sqrt{2x} = \sqrt{2x}\)

\(\sqrt{x} = 0\)

Now square both sides,

x = 0

There's your solution.

Answer 10

thanks a lot:)

Answer 11

You're welcome. We didn't square both sides, so we did not introduce any extraneous solutions.

Answer 12

You're welcome.

Answer 13

lol so whats next haha

Answer 14

This problem is done. You can check the solution, x = 0, in the original equation and you'll see that it works.

Answer 15

ow thanks again

Answer 16

You're welcome.