SOLUTION: Hello! Solve the following equations algebraically: t^(1/2)-2t^(1/4)-3=0 I have worked this problem to a certain point. I am stuck and cannot get past. Here is my work

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello! Solve the following equations algebraically: t^(1/2)-2t^(1/4)-3=0 I have worked this problem to a certain point. I am stuck and cannot get past. Here is my work      Log On


   

Question 95559: Hello!
Solve the following equations algebraically:
t^(1/2)-2t^(1/4)-3=0
I have worked this problem to a certain point. I am stuck and cannot get past.
Here is my work:
I made u equal t^(1/4)
u^2-2u-3=0
factors out to be u=1, -3
Here is where I am stuck.
Any help will be greatly appreciated.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following equations algebraically:
t^(1/2)-2t^(1/4)-3=0
I have worked this problem to a certain point. I am stuck and cannot get past.
Here is my work:
I made u equal t^(1/4)
u^2-2u-3=0
Factor to get:
(u-3)(u+1)=0
u = 3 or u=-1
t(1/4) = 3
t= 81
OR
t^(1/4)=-1
Can't be.
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Check the t(1/4)=81 solution to make sure
it is not extraneous
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