If a+b=7 and ab=10 then find a2 +b2

Given that, a+b = 7 and ab = 10

We know that (a+b)^{2} = a^{2} + 2ab + b^{2}Therefore, a^{2} + b^{2} = (a+b)^{2} - 2ab

Substituting the values we get

a^{2}+b^{2} =^{}7^{2} - 2 X 10

a^{2}+b^{2}=49 - 20

a^{2}+b^{2}=^{ }29 Ans.

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