SOLUTION: Kindly help me solving it By solving equation {{{(1+x)^(2/3)+(1-x)^(2/3)=4 (1-x^2)^(1/3)}}} the values of x are?

Question 1046716: Kindly help me solving it
By solving equation the values of x are?
Answer by ikleyn(52834) (Show Source): You can put this solution on YOUR website!
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Kindly help me solving it
By solving equation the values of x are?
~~~~~~~~~~~~~~~~~~~~~~~

 = .     (1)

Let us introduce new variables  a = ,  b = .  Then the equation (1) takes the form

 = .                           (2)

Divide both sides of (2) by . You will get

 = .                        (3)

Let us introduce new variable z = .  Then the equation (3) takes the form

 = 4z,   or

 = .

Solve it by using the quadratic formula. You will get

 =  = .

Now you come to the equations  for x:

 =   and/or  

 = .

It is just a technique to solve them.

I think it will not be difficult for the person who comes with such a request.

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