Q. 13

# If = x + iy, find x and y.

Consider,

Now, rationalizing

In denominator, we use the identity

(a – b)(a + b) = a2 – b2

= (i)93 – (-i)3

= (i)92+1 – [-(i)3]

= [(i)92(i)] – [-(i2 × i)]

= [(i4)23(i)] – [- (-i)]

= [(1)23(i)] – i

= i - i

x + iy = 0

x = 0 and y = 0

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