Aditya Gupta
Last Activity: 5 Years ago
we know that |a+b|^2= |a|^2+|b|^2+2Re(abarb) = |(a+b)^2|= |a^2+b^2+2ab|
and |a – b|^2= |a|^2+|b|^2 – 2Re(abarb)= |(a – b)^2|=|a^2+b^2 – 2ab|
adding |a^2+b^2+2ab|+|a^2+b^2 – 2ab|= 2*[|a|^2+|b|^2]
a and b being complex quantities.
if we let a and b = rootz1 and rootz2, then
| 1/2(Z1 + z2) + √z1z2 | + |1/2 (Z1 + z2) - √z1z2 |= ½*[2(|Z1| + |z2|)]
= |z1| + |z2|
