# Answer on Algebra Question 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)

So we know that (a-b)=7, from this we have (a-b)

On the other hand 49=a

Thus, a

^{2}=a^{2}-2ab+b^{2}. So we know that (a-b)=7, from this we have (a-b)

^{2}=49. On the other hand 49=a

^{2}-2ab+b^{2}. Substitute here ab=9. We obtain: 49=a^{2}-2*9+b^{2}. Thus, a

^{2}+b^{2}=49+18=67.

** Answer. 67.**Need a fast expert's response?

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