Question

find the solution of equ.
x^4-8x^3+32x^2-64x+64=0

Answer 1

please solve it with proper steps

Answer 2

if you notice properly,,the given eqn is actually this :
(x^2 - 4x + 8)^2 =0
can you do further?

Answer 3

it has no real solns,,2 complex solns only..

Answer 4

yes i know it has only complex roots but please tell me easy method of finding the roots if you know another method. how did you recognize that it has the form (x^2 - 4x + 8)^2 =0.

Answer 5

synthetic division is not applicable here then what should we do?

Answer 6

well i just had a deeper look into it..i dont know if theres any method to detect it..having a sense of factorizing allows to do it quicker..