Find the real numbers x and y such that
x/1+2i+y/3+2i=5+6i/-1+8i
Answers
Answer:
x=1
y=2
Step-by-step explanation:
We are given that
Now, rationalizing the denominator og all the terms, we get
⇒
Separating the real and imaginary parts from the above equation, we get,
⇒[
Hence, comparing real and imaginary parts of the above equation we get,
...... (1)
Multiplying 2 in the both sides we get,
...... (2)
Again, ..... (3)
Now, solving equations (2) and (3) we get,
4y/13=40/65
⇒ y=2
Again from equation (1), we get, x/5+6/13=43/65
⇒ x/5 =13/65
⇒ x=1 .
Hence, the values of the real numbers x and y are 1 and 2 respectively. (Answer)
Answer:
x=1
y=2
Step-by-step explanation:
We are given that
Now, rationalizing the denominator og all the terms, we get
⇒
Separating the real and imaginary parts from the above equation, we get,
⇒[
Hence, comparing real and imaginary parts of the above equation we get,
...... (1)
Multiplying 2 in the both sides we get,
...... (2)
Again, ..... (3)
Now, solving equations (2) and (3) we get,
4y/13=40/65
⇒ y=2
Again from equation (1), we get, x/5+6/13=43/65
⇒ x/5 =13/65
⇒ x=1 .
Hence, the values of the real numbers x and y are 1 and 2 respectively. (Answer)