Question

find the modulus of complex number -45 + 14i​

Answer 1

Answer:

Answer

Consider the given complex expression ,

(2−i)22+14i

(2−i)22+14i=(4+i2−2i)2+14i

∵i2=−1

=4−1−4i2+14i

=3−4i2+14i

Rationalize

3−4i2+14i×3+4i3+4i

Now ,3−4i2+14i×3+4i3+4i=(3)2−(4i)26+50i+56i2

(3)2−(4i)26+