Question

+ Ex. 2 : (Activity) Express 1/I + 2/i2 + 3/i3 +5/i4 in the form of (a + ib). Solution : --1,-1,-1 -------- 1 2 3 5 5 ++ ī +++ + 2 +7+7 -IO+20+30+50 D ] + 10 a-0b0 +1
+​

Answer 1

Step-by-step explanation:

i² = -1 , i³ = (-i) & i⁴ = 1

using all we get ,

1/i -2 -3/i +5

(1/i -3/i) +3

2/i +3

(2+3i)/i

Rationalizing it we get,

(2+3i)(-i)/(-i)²

(-2i-3i²)

(3-2i) (Ans)

Answer 2

Step-by-step explanation:

i ^ 2 = - 1 , i³ = (-i) & i = 1

using all we get,

1/i-2 -3/1 +5

(1/i -3/i) +3

2/1 +3

(2+3i)/i

Rationalizing it we get,

(2+3i)(-i)/(-i)²

(-21-31²)

(3-2i) (Ans).