`23*x^3-a x^2+2a^2x+4a^3"w h e n"x/a=1-sqrt(- 3)`

Evaluate the following: \ 2x^4+5x^3+7x^2-x+41 ,\ w h e n\ x=-2-sqrt(3)i

Evaluate the following: \ x^4+4x^3+6x^2+4x+9,\ w h e n\ x=-1+isqrt(2)

If x=a+b i is a complex number such that x^2=3+4i and x^3=2+1i ,w h e r e i= sqrt(-1) ,t h e n(a+b) equal to ______.

If x=a+b i is a complex number such that x^2=3+4i and x^3=2+1i ,w h e r e i=sqrt(-1),t h e n(a+b) equal to ______.

If x=a+b i is a complex number such that x^2=3+4i and x^3=2+11i ,w h e r e i=sqrt(-1),t h e n (a+b) equal to ______.

Evaluate the following: x^6+x^4+x^2+1,\ w h e n\ x=(1+i)/(sqrt(2))

Evaluate the following: 2x^3+2x^2-7x+72 ,\ w h e n\ x=(3-5i)/2

If |cos^(-1)((1-x^2)/(1+x^2))| < pi/3,t h e n (a) x in [-1/3,1/(sqrt(3))] (b) x in [-1/(sqrt(3)),1/(sqrt(3))] x in [0,1/(sqrt(3))] (d) none of these

If |cos^(-1)((1-x^2)/(1+x^2))| < pi/3,t h e n (a) x in [-1/3,1/(sqrt(3))] (b) x in [-1/(sqrt(3)),1/(sqrt(3))] x in [0,1/(sqrt(3))] (d) none of these

Prove that The maximum value of (sqrt(-3+4x-x^2)+4)^2+(x-5)^2(w h e r e1lt=xlt=3) i s 36.