Find the values of x and y that satisfy the equation. 4x+2i=8+yi x= and y=
1 answer:
Answer:
The values of x and y that satisfy the equation are 2 and 2, respectively.
Step-by-step explanation:
Two complex numbers are identical if and only each pair of respective coefficients are identical on both sides. Then, we need to observe the following conditions:
Real component
(1)
Imaginary component
(2)
The solution of this system of equations is and
.
The values of x and y that satisfy the equation are 2 and 2, respectively.
You might be interested in
the complete question is
Find two numbers whose difference is 46 and whose product is a minimum
Let
x------->larger number
y-------> smaller number
P-------> product of the two numbers
we know that
-----> equation 1
-----> equation 2
substitute equation 1 in equation 2
using a graph tool
see the attached figure
Find the value of x for that the product P is a minimum
the vertex is the point
that means, for
the product is a minimum
find the value of y
therefore
the answer is
the numbers are and
