SOLUTION: Please show how to solve the following polynomial equations: {{{ x^4 - 2x^2 + 1 = 0 }}} by subbing y= x^2 and {{{ sqrt(x)

SOLUTION: Please show how to solve the following polynomial equations: {{{ x^4 - 2x^2 + 1 = 0 }}} by subbing y= x^2 and {{{ sqrt(x) - (8) root(4,x) + 7 }}} Thank you

Question 1018485: Please show how to solve the following polynomial equations:
by subbing y= x^2
and

Thank you
Answer by ikleyn(52834) (Show Source): You can put this solution on YOUR website!
.
Please show how to solve the following polynomial equations:
by subbing y= x^2
and

Thank you
------------------------------------

1.
 = .  --->

Factor left side:

 = ,  --->

 = ,  --->  

The roots are x = 1 of multiplicity 2  and  x = -1 of multiplicity 2.

So it is solved.

Another way is to introduce new variable y = . The you get your equation for y in the form

 = .

Again, factor left side

 = ,

and so on . . . You will get the same answer.



2. Regarding your second equation . . . 

   There is a mistake in your writing, so fix (repair) it, and then resubmit.

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