It’s about sat

Question

(3+i)/(2-i)     Multiply (a+bi) = 1

 

in the equation above a and b are constants .if i =√-1 what is the value of a ? 

Answer 1

(3+i) / (2-i) 

 

multiply numerator and denominator by (2+i)

 

(3+i)  (2+i)

----- x -----  this is rationalizing the denominator

(2-i)   (2+i) 

 

6 + 2i + 3i + i²

----------------

4 - 2i + 2i - i²

 

since i =√-1, i² = -1

 

6 + 5i + (-1)

-------------

  4  - (-1)

 

5 + 5i

-------

   5

 

= 1 + i

 

if what we multiplied the fraction by  is (a + bi)

 

then a = 2 and b = 1

 

 

if the question is: if our answer to the problem is in the form (a + bi)

then a = 1 and b = 1

 

I was a little unsure from your wording which the question was asking