Question

if x= (1+i)/2 then 2x^4-2x^2 +x + 3 equals

Answer 1

Answer:

Substitute the Values And Find The Answer - You Will Become Lazy In Finding It Yourself So Find It Yourself It Will Be Better For You

Step-by-step explanation:

Answer 2

We can observe 1+i squared is 2i.

On squaring both sides here is $x^2=\frac{i}{2}$.

Now,

$2x^4-2x^2+x+3$

$=2x^2(x^2-1)+x+3$

Now we substitute the value of x² and x.

$=i(\frac{i-2}{2} )+\frac{1+i}{2} +3$

$=\frac{-1-2i}{2} +\frac{1+i+6}{2}$

On simplifying we get $\frac{6-i}{2}$ or $3-\frac{1}{2} i$.

It equals $3-\frac{1}{2} i$.