SOLUTION: I f x + 1 / x = 3 t h a n x 2 + t / x 2 = ?

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Question 522064: I f x + 1 / x = 3 t h a n x 2 + t / x 2 = ?
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
I f
%28x%2B1%29%2Fx=3
x%2B1=3x
1=3x-x
1=2x
1%2F2=x
x=1%2F2
Then
%28%28x%5E2%2Bt%29%2Fx%5E2%29=?

=%28%28x%5E2%2Bt%29%2Fx%5E2%29
Plug in the value of x in above equation.
=%28%281%2F2%29%5E2%2Bt%29%2F%281%2F2%29%5E2%29
=%28%281%2F4%29%2Bt%29%2F%281%2F4%29%29
=%28%281%2B4t%29%2F4%29%2F%281%2F4%29%29
=%28%281%2B4t%29%2F%28cross%284%29%29%29%2F%281%2F%28cross%284%29%29%29%29
=1%2B4t