Question

If X equal to 3 + 4 iota then the value of 204 X - 70 X square + 12 x the power cube minus x to the power 4 is

Answer 1

Step-by-step explanation:

Considering that a,b,cϵR, hence a quadratic equation with real coefficients containing one of its root as complex number, will have the other root as its complex conjugate.

Therefore, in the above case one root is 3−4i.

Therefore other root will be 3+4i.

Hence

a

−b

=3+4i+3−4i

Hence b=−6a...(i)

And

a

c

=(3+4i)(3−4i)

c=25a ...(ii)

Therefore the equation transforms to

ax

2

−6ax+25a=0

Or

x

2

−6x+25=0

Comparing with

ax

2

+bx+c=0 gives us

a=1 b=−6,c=25

Hence

31a+b+c

=31(1)−6+25

=31+25−6

=50

=2(25)

=2c