Question

solve the equation2xpower6-3xpower5+5xpower4-6xpower3-27x+81=0one root is root2-root-1 zee​

Answer 1

Answer

Given, one of the complex root of equation is (1+i)

So there should be another complex root for the equation as its compliment (1−i) for its coefficients to be rational.

Therefore, equation of lowest degree will be the one which has only these two roots.

Equation will then become x

2

−(1+i+1−i)x+(1+i).(1−i)=0

⇒x

2

−2x+2=0