Solve in R×R this equation :
is, technically, the set of ordered pairs of real numbers which have no multiplication or addition defined on them. I thought you meant the vector space . But in that case is a number while a+ b is a vector. Please explain what you mean by this question.
Are you asking for two real numbers, a and b, such that ? In that case, a any non-negative real number and b= 0 is a solution.