(3-2i)(x-yi)=2(x-2yi)+4i-1
Answers
Step-by-step explanation:
(x+iy)(2−3i)=4+i
(x+iy)(2−3i)=4+i2x−(3x)i+(2y)i−3yi square =4+i
2x+3y + (2y−3x) i=4+i
(2y−3x) i=4+iComparing the real & imaginary parts,
(2y−3x) i=4+iComparing the real & imaginary parts,2x+3y=4--------------------------(1)
(2y−3x) i=4+iComparing the real & imaginary parts,2x+3y=4--------------------------(1)2y−3x=1----------------------------(2)
(2y−3x) i=4+iComparing the real & imaginary parts,2x+3y=4--------------------------(1)2y−3x=1----------------------------(2)Solving eq(1) & eq(2),
(2y−3x) i=4+iComparing the real & imaginary parts,2x+3y=4--------------------------(1)2y−3x=1----------------------------(2)Solving eq(1) & eq(2),4x+6y=8
(2y−3x) i=4+iComparing the real & imaginary parts,2x+3y=4--------------------------(1)2y−3x=1----------------------------(2)Solving eq(1) & eq(2),4x+6y=8−9x+6y=3
(2y−3x) i=4+iComparing the real & imaginary parts,2x+3y=4--------------------------(1)2y−3x=1----------------------------(2)Solving eq(1) & eq(2),4x+6y=8−9x+6y=313x=5⇒x= 5/13
13 y= 14/13
∴(x,y)=( 5/13 , 14/13)
Answer:
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