If the sum of two numbers is 13 and the sum of their squares is 97, what is their product?
$$(A+ BÂ )^2 = A^2 + B^2 + 2\times A\times B$$
this is a algebraic identity we will use this in solving question
givenÂ
A + B = 13
$$A^2 + B^2$$ = 97
soÂ
$$(A+ B )^2 = A^2 + B^2 + 2\times A\times B$$
$$(13)^2 = 97 + 2\times A\times B$$
169 = $$97 + 2\times A\times B$$
36 =$$A\times B$$
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