Question

If there is a multiple root of order 3 for
the equation at x4-2x3+2x-1=0 , then the other root is​

Answer 1

Answer:

→ Let the roots be α,α,α,β

Sum of roots = a−b=2=3α+β

sum of roots taken two at a

time = α2+α2+α2+αβ+αβ+αβ=0

⇒3α2+3αβ=0

⇒3α(α+β)=0

either α+β=0

⇒α=−β

⇒−3β+β=2⇒−2β=2⇒β=−1