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Answer to Question #43620 in Algebra for ruchi

Question #43620
if (a-b)=7 and ab=9. then a^2+b^2=_____
Expert's answer
To find the answer using the next formula: (a-b)2=a2-2ab+b2.
 So we know that (a-b)=7, from this we have (a-b)2=49.
 On the other hand 49=a2-2ab+b2. Substitute here ab=9. We obtain: 49=a2-2*9+b2.

 Thus, a2+b2=49+18=67.
 
 Answer. 67.

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