Given the third quadrant of the point corresponding to the complex number Z = m (1 + I) - M 2 (4 + I) - 6I in the complex plane, the range of real number m is obtained

Given the third quadrant of the point corresponding to the complex number Z = m (1 + I) - M 2 (4 + I) - 6I in the complex plane, the range of real number m is obtained

Z = (m-4m & sup2;) + (M-M & sup2; - 6) I in the third quadrant
So m-4m & sup2; 0, constant holds
So M1 / 4