Question

if x=5+2√-4 find the value of

x4+9x3+35x2-x+4

Answer 1

Answer:

X=-5+2root-4

=x+5=4i

=(x+5)^2=16i^2=>x^2+10x+25=-16=>x^2+10x+41=0

Now,x^4+9x^3+35x^2-x+4

=x^2(x^2+10x+41)-x(x^2+10x+41)+4(x^2+10x+41)-160

=x^2(0)+x(0)+4(0)-160=-160

Thus,the value of the given polynomial for x=-5+2root-4 is - 160

Yo yo answer---given by sk