I am bothered with (Rock)a problem to solve the equation

a3+b3 = 91

a2+b2=61

find the value of and "a" and "b".

where 3 and two is in form of cube and square

Please help me to solve this problem(Smirk)

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- June 18th 2008, 10:27 PMgautamAlgebraic Problem Need Solve Urgent
I am bothered with (Rock)a problem to solve the equation

a3+b3 = 91

a2+b2=61

find the value of and "a" and "b".

where 3 and two is in form of cube and square

Please help me to solve this problem(Smirk) - June 18th 2008, 11:06 PMIsomorphism
- June 18th 2008, 11:17 PMgautam
- June 19th 2008, 12:25 AMCaptainBlack
put and , then the equations become:

or:

Dividing gives:

rearranging:

Now substitute this back into to get:

Which is a cubic in , solve this, then use these solutions to find the corresponding 's and so the 's and 's. (solution of the cubic will be eased by using Isomorphism's result).

RonL - June 19th 2008, 05:52 AMCaptainBlack
- June 19th 2008, 07:24 AMcolby2152
I just wanted to mention that those two solutions posted by Captain Black were excellent.(Rock)