SOLUTION: If a+b=20 and ab=40, find a^2+b^2.

Question 1077066: If a+b=20 and ab=40, find a^2+b^2.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.

= = = 400 - 80 = 320.

SOLVED.

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It is the STANDARD way in which THIS problem MUST be solved.

Even do not try to find "a" and "b" explicitly and separately (although it is possible . . . ).
It would NOT be the way.

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Already given a+b=20, so the trinomial is

Also already given ab=40.

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