solve the following for u and t

x= u + t^2

y = t - u^2

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- November 10th 2009, 11:10 PMscubasteve123solving systems of equations
solve the following for u and t

x= u + t^2

y = t - u^2 - November 10th 2009, 11:17 PMBabyMilo
- November 12th 2009, 10:14 PMscubasteve123
I tried this and was just left with y + x^2 = t +2xt^2 - t^4

... not sure how to simplify this I just end up going in circles with all the substitution. - November 12th 2009, 11:21 PMBabyMilo
you are right what you are doing.

after you simplfy you get:

well we need to rearrange it a little bit, so we get:

then using the Quadratic equation

http://upload.wikimedia.org/math/f/4...d3837dfe5a.png

we sub in the numbers,

then again simplfy:

so we get t=1 or t=0

if t=0 x=0

if t=1 x=2 or 0.

hope this helps. correct me if im wrong anyone. - November 12th 2009, 11:30 PMBacterius
You can simplify even further, Babymilo :

Extract the from the square root :

Factorize :

Cancel out the :

Finally :