SOLUTION: Leave x in terms of y if... t^2-4x^2t+4x^4=0 and t^2-1 / y = t-1 / √y I am not sure how to approach this question. Could you please help? Thank you.

Question 805556: Leave x in terms of y if...
t^2-4x^2t+4x^4=0 and t^2-1 / y = t-1 / √y

I am not sure how to approach this question.
Could you please help?
Thank you.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Leave x in terms of y if...
t^2-4x^2t+4x^4=0
Factors to
(t-2x^2)(t-2x^2) = 0
t = 2x^2
:
and
=
cross multiply
(t^2-1) = y(t-1)
(t-1)(t+1) = y(t-1)
divide both sides by (t-1)
(t+1) = y
t + 1 =
t + 1 =
Replace t with 2x^2 from the 1st equation
2x^2 + 1 =
square both sides
y = (2x^2+1)^2
FOIL
y = 4x^4 + 4x^2 + 1

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SOLUTION: Leave x in terms of y if... t^2-4x^2t+4x^4=0 and t^2-1 / y = t-1 / &#8730;y I am not sure how to approach this question. Could you please help? Thank you.

SOLUTION: Leave x in terms of y if... t^2-4x^2t+4x^4=0 and t^2-1 / y = t-1 / √y I am not sure how to approach this question. Could you please help? Thank you.