Need help solving these simultaneous equations, anyone with a pen and paper?

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SUMMARY

The discussion revolves around solving the simultaneous equations: -r*(T^2 + T + 6) + 1 = 0 and 4r*(T^2 + T) - T = 0 for variables T and r. The user initially identifies one solution as T=0 and r=1/6, while also deriving complex solutions T = ±i/(2)0.5 and r = 1/[4(1+T)]. The user later resolves their confusion regarding MATLAB's disagreement with their solutions after a three-hour effort.

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Solve

-r*(T^2 + T + 6) + 1 = 0

4r*(T^2 + T) - T = 0

For T and r

One solution is T=0 and r=1/6

There are 2 more.


I have T = +- i/(2)0.5 and r = 1/[4(1+T)]

But MATLAB is disagreeing with my solutions, can anyone rectify them for me please?
 
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ah nevermind, foudn my mistake early on, sorry for anyone bothering to attempt it I've done it (after 3 hours :/ )
 

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