The sum of the squares of a and b is seven less than twice the product of a and b.

Question

Translate the following into mathematical symbols

Answer 1

a^2 + b^2 = 2ab -7

a^2 -2ab + b^2 =-7

(a-b)^2 = -7 which is impossible for any real number, as the left side is > 0, and the right side <0

but there could be imaginary solutions for a and b

such as a = i and b = isqr6