# Maths

posted by .

Suppose z=a+bi, where a and b are integers and i is the imaginary unit. We are given that |1+iz|=|1−iz| and |z−(13+15i)|<17. Find the largest possible value of a+b.

i is the imaginary unit, where i^2=−1.

## Similar Questions

1. ### biology

Given the part of the molecule shown below, can the underlined atom participate in a hydrogen bond with an approriate bonding partner?
2. ### Algebra

The function f(x)=x^4−10x^3+40x^2−80x+64 has four complex roots, one of which is 2−2i. What is the sum of all real and imaginary coefficients of these roots?
3. ### math

What is the imaginary part of −169−−−−√?
4. ### maths

Find the largest possible value of x^3+y^3+z^3 for realx, y, z, such that xyz^2=−64y−128x x^2yz=−32y−32z 3xy^2z=128x−64z
5. ### Maths

Suppose Z=a+bi , where a and b are integers and i is the imaginary unit. We are given that |1+iZ| = |1-iZ| and |Z-(13+15i)|<17 . Find the largest possible value of a+b
6. ### maths

Suppose z=a+bi, where a and b are integers and i is the imaginary unit. We are given that |1+iz|=|1−iz| and |z−(13+15i)|<17. Find the largest possible value of a+b. Details and assumptions i is the imaginary unit, where …
7. ### math

Suppose z=a+bi, where a and b are integers and i is the imaginary unit. We are given that |1+iz|=|1−iz| and |z−(13+15i)|<17. Find the largest possible value of a+b.
8. ### Maths

The function f(x)=x^4−15(x^3)+81(x^2)−201x+182 has four complex roots, one of which is 3−2i. What is the sum of all real and imaginary coefficients of these roots?
9. ### mathematics

x,y and z are complex numbers that satisfy the equations x+y+z=2, xy+yz+zx=3 and xyz=4. Given that 1/(1−x−yz)+1(1−y−zx)+1(1−z−xy)=ab, where a and b are coprime positive integers, what is the value …
10. ### math

If z=−√2/2+√2/2 i, what is the value of −(z^−52)?

More Similar Questions