Solve inR :

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- Sep 22nd 2009, 09:29 AMdhiabSolve this radical equation
**Solve in**R :

- Sep 22nd 2009, 09:32 AMstapel
Square both sides. You'll end up with a radical as the middle term on the right-hand side.

Isolate this radical, and then square again.

Then solve the resulting polynomial.

Remember to check your solutions in the original radical equation! (Wink)

If you get stuck, please reply showing your steps and reasoning so far. Thank you! (Cool) - Sep 22nd 2009, 09:43 AMdhiab
- Sep 22nd 2009, 10:45 AMred_dog

Let

Then we have the system of equations:

Let . Then

From the first equation

Replace in the second:

If then .

Then

We get

Now we have to see what happens if

But this equation has no rational roots and the discussion is more complicated. - Sep 22nd 2009, 07:15 PMpacman
from

**red_dog**, p^3 - 2p^2 - 0 = 0, by iteration; p > 2.359.

the graph confirms it - Sep 22nd 2009, 10:38 PMdhiab