Math Help - Unusual equation

Hi!

How should one proceed with an equation like this..

x^(1/2) + x^(1/4) = 20

without having any calculator obv..

thanks!

let

your equation becomes



factor

can you take it form here?

uh..
I understood what you did.

y = -5 or y = 4 ?

but.. do I get the correct answer?
If I insert 4 into the original equation..

Because is impossible the there is one solution.

doesnt x = 256 ?

because 4^4 is 256

and sqrt of 256 is 16, so 16 plus 4 = 20

Originally Posted by Twig

doesnt x = 256 ?

because 4^4 is 256

and sqrt of 256 is 16, so 16 plus 4 = 20

Yes.

Plato made a simple careless mistake. Be that as it may, it's a mere detail - it's the method that's important and the method is what Plato's given you.

Absolutely, the method is def. the most important.
Just wanted to be sure that I got it correct.

Thanks!