Question

find real numbers a and b such that the equation is true.

(a - 1) + (b + 3)i = 5 + 8i

Answer 1

Step 1 :

Equality of complex numbers :

Two complex numbers and , written in standard form are equal to each other

if and only if and .

Step 2 :

The equation is

From the equality of complex numbers,

and

Solve for a :

Solve for b :

The real numbers are and

Solution :

The real numbers are and