If we consider the positive value of b, then the value of b is 4.
<h3>What is the coordinate plane of a complex number?</h3>A complex number in the form z = x + iy takes a coordinate plane in terms of (x,y). From the given information, we are given a distance between two points:
- 25 + bi = (25,b)
- 13-31i = (13, -31)
Now, the distance between two points can be represented by using the relation:
Taking the square of both sides
1369 = 144 + (31 + b)²
1369 - 144 = (31 + b)²
1225 = (31 + b)²
(31 + b)² = (35)²
(31 + b) = ±35
b = 35 - 31 or -35 -31
b = 4 or -66
Learn more about solving complex numbers here:
#SPJ1
