SOLUTION: If {{{ f(x+y) = f(x) + f(y) + xy + 1 }}} for all real numbers x and y and {{{ f(1)=1 }}}, what is the value of {{{ f(10) }}}?

Algebra ->  Rational-functions -> SOLUTION: If {{{ f(x+y) = f(x) + f(y) + xy + 1 }}} for all real numbers x and y and {{{ f(1)=1 }}}, what is the value of {{{ f(10) }}}?      Log On