SOLUTION: Question: The absolute value of a complex number z = a + bi, denoted |z|, is given by the formula {{{abs(z) = sqrt(a^2 + b^2)}}} Find three distinct complex numbers (which are nei

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Question: The absolute value of a complex number z = a + bi, denoted |z|, is given by the formula {{{abs(z) = sqrt(a^2 + b^2)}}} Find three distinct complex numbers (which are nei      Log On


   

Question 1066937: Question: The absolute value of a complex number z = a + bi, denoted |z|, is given by the formula abs%28z%29+=+sqrt%28a%5E2+%2B+b%5E2%29
Find three distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of 5.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28z%29+=+sqrt%28a%5E2+%2B+b%5E2%29
For z=3+4i
abs%28z%29+=+abs%283%2B4i%29+=+sqrt%283%5E2+%2B+4%5E2%29=sqrt%289%2B16%29=sqrt%2825%29=5
For z=4.8+1.4i

For z=1.76+4.68i

Edwin