Grade 11Algebra
Number of solution(s) of the equation |z|^2 + 7z = 0 is/are
Number of solution(s) of the equation |z|^2 + 7z = 0 is/are
2 Answers
Deepak Kumar Shringi
put z=x+iy
and |z|=(x2+y2)1/2
then real part and img part to both side equate
and |z|=(x2+y2)1/2
then real part and img part to both side equate
Aditya Gupta
We see that
-|z|^2/7= z, which means that z is real and less than or equal to zero. So modz= -z
So equation becomes
-z^2=7z
Or z= 0 or -7
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