SOLUTION: You now a+b=2 and a(squared)+b(squared)=3, then what is a(cubed)+b(cubed)=?

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Question 70298: You now a+b=2 and a(squared)+b(squared)=3, then what is a(cubed)+b(cubed)=?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
A+B=2 SO A=2-B
A^2+B^2=3
(2-B)(2-B)+B^2=3
4-4B+B^2+B^2=3
2B^2-4B+1=0
THE QUADRATIC EQUATION GIVES US THE SOLUTION OF
B=1.71 & .39 THEREFORE
A=.39 & 1.71
A^2+B^2=3
1.71^2+.39^2=3
2.92+.08=3
3=3
A^3+B^3=?
1.71^3+.39^3=?
5.+.06=5.06