Question

add me as a friend and comment something and answer this question to get 90 points
plus if you get it correct i will mark you as brainliess

Answer 1

Answer:

2

Step-by-step explanation:

Given imaginary number :

     ( 8 - i ) / ( 3 - 2i )

Multiply and divide by 3 + 2i:

⇒ ( 8 - i )( 3 + 2i ) / ( 3 - 2i )( 3 + 2i )

⇒ ( 8 - i )( 3 + 2i ) / { ( 3 )^2 - ( 2i )^2 }         { ( a + b )( a - b ) = a^2 - b^2 }

⇒ ( 8 - i )( 3 + 2i ) / { 9 - 4( -1 ) }

⇒ ( 8 - i )( 3 + 2i ) / ( 9 + 4 )

⇒ ( 24 + 16i - 3i - 2i^2 ) / 13

⇒ ( 24 + 13i - 2( - 1 ) ) / 13

⇒ ( 24 + 13i + 2 ) / 13

⇒ ( 26 + 13i ) / 13

⇒ ( 26 / 13 ) + ( 13 / 13 ) i

       Real number on RHS = real number of LHS

⇒ ( 26 / 13 ) = a

⇒ 2 = a

Answer 2

$\huge\pink{\underbrace{\overbrace{\ulcorner{\mid{\overline{\underline{ANSWER}}}}}}}$

${\bf{\green{=>8-i/3-2i}}}$

${\bf{\green{=>8-i/3-2i×3+2i/3+2i}}}$

${\bf{\green{=>24+16i-3i-2i^2/3^2-4i^2}}}$

${\bf{\green{=>24+13i-2(-1)/9-4(-1)}}}$

${\bf{\green{=>24+13i+2/9+4}}}$

${\bf{\green{=>26+13i/13}}}$

${\bf{\green{=>2+i}}}$

${\bf{\green{=>2+i=a+bi}}}$

${\bf{\green{where,}}}$

${\bf{\green{a=2}}}$

${\bf{\green{option A) 2}}}$