Question

What is the real value of a for which 3i*3 - 2ai*2 + ( 1- a )i +5 is real ?

Answer 1

9i_4ai+i_ai+5

=10i_5ai+5

=5 (2_ai)+5

=5 (2_ai+1)

=5 (1_ai)

=1_ai

a=1÷i

Answer 2

The real value of a is -2.

Step-by-step explanation:

Given : Expression $3i^3-2ai^2+(1-a)i+5$

To find : The real value of a for which expression is real ?

Solution :

Solving the expression,

$3i^3-2ai^2+(1-a)i+5$

We know that, $i^2=-1$

$=-3i+2a+(1-a)i+5$

$=2a+5+(-a-2)i$

The expression to be real if $-a-2=0$

So, $a=-2$

Therefore, the real value of a is -2.

#Learn more

Let z= 11-3i/1+i if a is real number such that z-ia is real then find the value of a​

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