SOLUTION: a^2+b^2= what if a+b=3 and ab=6

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Question 1061210: a^2+b^2= what if a+b=3 and ab=6
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+a%2Bb+=+3+ (given)
+%28a%2Bb%29%5E2+=+a%5E2+%2B+2ab+%2B+b%5E2+=+3%5E2+=+9+ (squared both sides)
+ab+=+6+ (given)
+2ab+=+12+ (multiplied both sides by 2)
I hope you see it now? Before proceeding, please study the equation above and the equation resulting from squaring both sides.
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Can't we solve +a%5E2+%2B+2ab+%2B+b%5E2+=+9+ for +a%5E2+%2B+b%5E2+, knowing 2ab=12 ?