## On the set of complex numbers, consider the equation ({z^2} – 2left( {m + 1} right)z + {m^2} = 0) ((m) is a real number). How many values ​​of (m) are there for that equation to have two distinct solutions ({z_1},{z_2}) satisfying (left| {{z_1}} right| + left| {{z_2}} right| = 2?) – Math Book

On the set of complex numbers, consider the equation ({z^2} – 2left( {m + 1} right)z + {m^2} = 0) ((m) is a real number). How many values ​​of (m) are there for that equation to have two distinct solutions ({z_1},{z_2}) satisfying (left| {{z_1}} right| + left| {{z_2}} right| = 2?) – Math book – Learn math