The real value of ‘a’ for which
Question:

The real value of ‘a‘ for which 3i3 – 2ai2 + (1 – ai + 5 is real is ____________.

Solution:

$3 \hat{}^{3}-2 a i^{2}+(1-a) i+5$

i.e $32^{2} i-2 a(-1)+(1-a) i+5$

i.e 3i + 2a + (1 – ai + 5

i.e 2a + 5 + i(1 – – 3)

i.e 2+ 5 + (–a – 2)

Since the above expression is given to be real

⇒ –a – 2 = 0

⇒ = – 2

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