Complex Numbers And Quadratic Equations question 445
Question: Solving $ 3-2yi=9^{x}-7i $ , where $ i^{2}=-1, $ for x and y real, we get [AMU 2000]
Options:
A) $ x=0.5,y=3.5 $
B) $ x=5,y=3 $
C) $ x=\frac{1}{2},y=7 $
D) $ x=0,y=\frac{3+7i}{2i} $
Show Answer
Answer:
Correct Answer: A
Solution:
$ 3-2yi=9^{x}-7i $ Equating real and imaginary parts both sides $ 9^{x}=3\Rightarrow 3^{2x}=3^{1}\Rightarrow 2x=1\Rightarrow x=0.5 $ $ 2y=7\Rightarrow y=3.5 $ .
BETA
