There exists a complex z satisfying the following iz 1 I z

There exists a complex z satisfying the following: iz + 1 = I z - 2 = -1 + I Select one: True False Check

Solution

Given iz+1=i

z-2=-1+i

From the second equation find \'z\' and substitute it in first equation.

    z-2=-1+i

z=-1+i+2

z=1+i

substitute it in first equation.

iz+1=i

i(1+i)+1=i

i+i²+1=i

i-1+1=i (Since i²=1)

i=i

So.the given data is TRUE.